fraction homework help

Helpful Fractions Resources

Confused by basic fractions? Scared of fractions ? Want to learn how to add, subtract, multiply, or divide really complicated fractions? Let's start with a basic introduction to fractions. You're used to working with whole numbers such as 1, 2, 3 etc., but fractions allow you to go in between. Here are some good lessons that will introduce the concepts of fractions:

Introduction to Fractions (from the BBC)

Varnelle's Primary Math (mathforum.org)

NRICH Introduction (Maths.org)

Once you've got a handle on what a fraction is, you will want to do things with fractions. It's easy enough to add 1/4 to 1/4, but how do you add 1/3 to 3/7? How do you divide fractions? Check out these lessons on performing arithmetic with fractions:

Adding Fractions (FreeMathHelp.com)

Dividing Fractions (FreeMathHelp.com)

Multiplying Fractions (FreeMathHelp.com)

Adding and Subtracting Fractions (themathpage.com)

Adding and Subtracting Fractions (math.com)

Multiplying Fractions (math.com)

Multiply and Divide Fractions (themathpage.com)

Multiplying Simple Fractions (sosmath.com)

Looking for even more help with fractions? Guaranteach , a major math video site, has provided over 500 free videos in their fractions category!

Fraction Worksheets

Conversion :: Addition :: Subtraction :: Multiplication :: Division

Conversions

Fractions - addition, fractions - subtraction, fractions - multiplication, fractions - division.

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Fractions Worksheets

Fraction worksheets for grade 1 through grade 6.

Our fraction worksheets start with the introduction of the concepts of " equal parts ", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers.  

Choose your grade / topic:

Grade 1 fraction worksheets, grade 2 fraction worksheets, grade 3 fraction worksheets.

Fraction worksheets

Fractions to decimals

Fraction addition and subtraction

Fraction multiplication and division

Converting fractions, equivalent fractions, simplifying fractions

Fraction to / from decimals 

Fraction addition and subtraction 

Fraction multiplication and division worksheets

Fraction to / from decimals

Topics include:

• Identifying "equal parts"
• Dividing shapes into "equal parts"
• Parts of a whole
• Fractions in words
• Coloring shapes to make fractions
• Writing fractions
• Fractions of a group or set
• Word problems: write the fraction from the story
• Equal parts
• Numerators and denominators of a fraction
• Writing fractions from a numerator and denominator
• Reading fractions and matching to their words
• Writing fractions in words
• Identifying common fractions (matching, coloring, etc)
• Fractions as part of a set or group (identifying, writing, coloring, etc)
• Using fractions to describe a set
• Comparing fractions with pie charts (parts of whole, same denominator)
• Comparing fractions with pie charts (same numerator, different denominators)
• Comparing fractions with pictures (parts of sets)
• Comparing fractions with block diagrams
• Understanding fractions word problems
• Writing and comparing fractions word problems
• Identifying fractions
• Fractional part of a set
• Identifying equivalent fractions
• Equivalent fractions - missing numerators, denominators
• 3 Equivalent fractions
• Comparing fractions with pie charts (same denominator)
• Comparing proper fractions with pie charts
• Comparing proper or improper fractions with pie charts
• Compare mixed numbers with pie charts
• Comparing fractions (like, unlike denominators)
• Compare improper fractions, mixed numbers
• Simplifying fractions (proper, improper)
• Adding like fractions
• Adding mixed numbers
• Completing whole numbers
• Subtracting like fractions
• Subtracting a fraction from a whole number or mixed number
• Subtracting mixed numbers
• Converting fractions to / from mixed numbers
• Converting mixed numbers and fractions to / from decimals
• Fractions word problems

Grade 4 fraction worksheets

• Adding like fractions (denominators 2-12)
• Adding like fractions (all denominators)
• Adding fractions and mixed numbers (like denominators)
• Subtracting like fractions (denominators 2-12)
• Subtracting fractions from whole numbers, mixed numbers
• Subtracting mixed numbers from mixed numbers or whole numbers
• Comparing improper fractions and mixed numbers with pie charts
• Comparing proper and improper fractions
• Ordering 3 fractions
• Identifying equivalent fractions (pie charts)
• Writing equivalent fractions (pie charts)
• Equivalent fractions with missing numerators or denominators

Grade 4 fractions to decimals worksheets

• Convert decimals to fractions (tenths, hundredths)
• Convert decimals to mixed numbers (tenths, hundredths)
• Convert fractions to decimals (denominator of 10 or 100)
• Convert mixed numbers to decimals (denominator of 10 or 100)

Grade 5 addition and subtraction of fractions worksheets

• Adding like fractions (denominators 2-25)
• Adding mixed numbers and / or fractions (like denominators)
• Adding unlike fractions & mixed numbers
• Subtracting fractions from whole numbers and mixed numbers (same denominators)
• Subtracting mixed numbers with missing subtrahend or minuend)
• Subtracting unlike fractions
• Subtracting mixed numbers (unlike denominators)
• Word problems on adding and subtracting fractions

Grade 5 fraction multiplication and division worksheets

• Multiply fractions by whole numbers
• Multiply fractions by fractions
• Multiply improper fractions
• Multiply fractions by mixed numbers
• Multiply mixed numbers by mixed numbers
• Missing factor questions
• Divide whole numbers by fractions (answers are whole numbers)
• Divide a fraction by a whole number and vice versa
• Divide mixed numbers by fractions
• Divide fractions by fractions
• Mixed numbers divided by mixed numbers
• Word problems on multiplying and dividing fractions
• Mixed operations with fractions word problems

Grade 5 converting, simplifying & equivalent fractions

• Converting improper fractions to / from mixed numbers
• Simplifying proper fractions
• Simplifying proper and improper fractions
• Equivalent fractions (2 fractions)
• Equivalent fractions (3 fractions)

Grade 5 fraction to / from decimals worksheets

• Convert decimals to fractions (tenths, hundredths), no simplification
• Convert decimals to fractions (tenths, hundredths), with simplification
• Convert decimals to mixed numbers
• Convert fractions to decimals (denominators of 10 or 100)
• Convert mixed numbers to decimals (denominators of 10 or 100)
• Convert mixed numbers to decimals (denominators of 10, 100 or 1000)
• Convert fractions to decimals (common denominators of 2, 4, 5, ...)
• Convert mixed numbers to decimals (common denominators of 2, 4, 5, ...)
• Convert fractions to decimals, some with repeating decimals

Grade 6 addition and subtraction of fractions worksheets

• Adding unlike fractions
• Adding  fractions and mixed numbers
• Adding mixed numbers (unlike denominators)
• Subtract unlike fractions
• Subtract mixed numbers (unlike denominators)

Grade 6 fraction multiplication and division worksheets

• Fractions multiplied by whole numbers
• Fractions multiplied by fractions
• Mixed numbers multiplied by fractions
• Mixed numbers multiplied by mixed numbers
• Whole numbers divided by fractions
• Fractions divided by fractions
• Mixed numbers divided by mixed nuymbers
• Mixed multiplication or division practice

Grade 6 converting, simplifying and equivalent fractions worksheets

• Convert improper fractions to / from mixed numbers
• Simplify proper fractions
• Simplify proper and improper fractions
• Equivalent fractions (4 fractions)

Grade 6 fraction to / from decimals worksheets

• Convert decimals to fractions, with simplification
• Convert decimals to mixed numbers, with simplification
• Convert fractions to decimals (denominators are 10 or 100)
• Convert fractions to decimals (various denominators)
• Convert mixed numbers to decimals (various denominators)

Related topics

Decimals worksheets

Word problem worksheets

Sample Fractions Worksheet

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Fractions Worksheets

Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.

This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.

The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.

Most Popular Fractions Worksheets this Week

General Use Fractions Printables

Fraction circles.

Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.

Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.

Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.

Fraction Strips

Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).

Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.

The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.

Modeling Fractions Worksheets

Besides using the worksheets below, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?

Modeling fractions with groups of shapes

Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group.

Modeling fractions with rectangles

Modeling fractions with circles

Ratio and Proportion Worksheets

Picture ratios.

More picture ratios can be found on holiday and seasonal pages. Try searching for picture ratios to find more.

Equivalent fractions

The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version.

Equivalent ratios

Comparing & Ordering Fractions Worksheets

Comparing proper fractions.

Comparing fractions involves deciding which of two fractions is greater in value or if the two fractions are equal in value. There are generally four methods that can be used for comparing fractions. First is to use common denominators . If both fractions have the same denominator, comparing the fractions simply involves comparing the numerators. Equivalent fractions can be used to convert one or both fractions, so they have common denominators. A second method is to convert both fractions to a decimal and compare the decimal numbers. Visualization is the third method. Using something like fraction strips , two fractions can be compared with a visual tool. The fourth method is to use a cross-multiplication strategy where the numerator of the first fraction is multiplied by the denominator of the second fraction; then the numerator of the second fraction is multiplied by the denominator of the first fraction. The resulting products can be compared to decide which fraction is greater (or if they are equal).

Comparing Proper and Improper Fractions

The worksheets in this section also include improper fractions. This might make the task of comparing even easier for some questions that involve both a proper and an improper fraction. If students recognize one fraction is greater than one and the other fraction is less than one, the greater fraction will be obvious.

Comparing Proper, Improper and Mixed Fractions

This section additionally includes mixed fractions. When comparing mixed and improper fractions, it is useful to convert one of the fractions to the other's form either in writing or mentally. Converting to a mixed fraction is probably the better route since the first step is to compare the whole number portions, and if one is greater than the other, the proper fraction portion can be ignored. If the whole number portions are equal, the proper fractions must be compared to see which number is greater.

Ordering fractions on a Number Line

Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.

Ordering fractions

The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.

Simplifying & Converting Fractions Worksheets

Rounding fractions.

Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.

Simplifying fractions

Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.

Converting between improper and mixed fractions

Converting between fractions, decimals, percents, and ratios

Operations with Fractions Worksheets

Multiplying fractions.

Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.

Fillable and Savable Layout

Traditional, dividing fractions.

Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?

Adding Fractions

Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?

Adding Mixed Fractions Worksheets

A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back. Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion.

Subtracting Fractions

There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what it means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).

Subtracting Mixed Fractions Worksheets

Various Operations Fractions Worksheets

Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.

Adding and subtracting fractions

Multiplying and dividing fractions

This section includes worksheets with both multiplication and division mixed on each worksheet. Students will have to pay attention to the signs.

Mixed operations with fractions

Operations with Negative fractions

Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding. It is important to pay attention to the signs and know the rules for multiplying positives and negatives (++ = +, +- = -, -+ = - and -- = +).

Order of Operations with Fractions Worksheets

Order of operations with fractions.

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience..

Order of operations with decimals & fractions mixed

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A Table of Contents for Tips and Help With Fractions Homework

Fraction Interaction

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A wide variety of activities, skill specific, are included in this section of articles. From basic fraction rules to working with mixed

fractions, the steps for working with fractions correctly are provided here. We all learned fractions when it was our turn in school, but sometimes it’s difficult to dredge up the correct skills when you’re helping a frustrated child.

Encourage your child to take the necessary learning risks associated with solving problems with fractions. Many times, errors lead to new learning. The links listed here can serve to guide your child in transforming their errors into new learning.

Whether your child needs to learn how to multiply, divide, add or subtract fractions, you will find what you need for him or her through the links listed here.

• Converting a Decimal to a Fraction and Fraction to a Decimal
• Fractions and Decimals on a Number Line
• Multiplying Fractions
• Multiplying Mixed Fractions
• Dividing Fractions the Easy Way
• Dividing Mixed Fractions With Examples and Resources
• Adding Mixed Fractions
• Subtracting Mixed Fractions

Targeting Grade-Level Fraction Skills

Skill-specific fraction practice according to your child’s grade level can be found here. The articles contained in this section address grade specific fraction skills from pre-k through grade 8. Use fun activities such as cooking to show your child just why we all need to learn math.

Choose the article with your child’s grade level to access specific grade-level fractions practice.

• Pre-K Fraction Practice (this is a Word template that downloads automatically)
• Grades 1 and 2: Teaching Fractions With Cooking
• Grades 3 and 4: How to Find The Least Common Denominator
• Grades 4 and 5: Comparing Fractions With Like Denominators
• Grades 5 and 6: Help With Converting Decimals to Fractions

Understanding the Fraction Challenge

Read through these articles for tips on assisting your child with fractions homework. Gain an understanding of why your child may struggle with specific problems when working with fractions. By understanding why children struggle with fractions, you will be better prepared to assist them during homework time. You will also be better able to address your child’s fears and concerns and work through fraction problems more confidently.

The helpful tips presented in the articles listed here will increase your basic understanding of your child’s apprehensions as well as increase your own knowledge of fractions. They will assist you in helping your child master the skills needed to work with fractions successfully.

• Using the Number Line
• Understanding Improper Fractions
• Understanding the Rules For Fractions
• Converting Percents to Fractions and Fractions to Percents
• How to Calculate Fractional Exponents

Tips and Strategies for Homework Success

As a parent, assisting with fraction homework may present a challenge. Instead, make it a bonding experience for you and your child as you solve problems together and seek out correct processes to complete fraction homework successfully. As the old adage goes, you’re your child’s first teacher — make it an enjoyable and rewarding experience with these tips, strategies and fraction activities found here.

Read through these articles for specific tips and guidance on helping your child overcome math phobia and succeed with fractions homework. Be prepared and knowledgeable for working with fractions while applying homework strategies to ensure your child finishes with increased confidence.

• Fractions Fun at Home
• How Parents Can Best Help With Homework
• How Parents Can Help At Home: Grade 3
• Helping With Homework and Ending The Hassle
• Homework Help for Parents
• Improving Your Child’s Math Skills at Home
• How to Study for Math

Math Success at Home for ADHD Children

Assisting with fractions homework is a challenge, but more of a challenge is assisting your ADHD child with fractions homework. Replace the frustration with accomplishment by applying the suggestions offered here.

Choose from this list of articles for specific tips and strategies when working with your ADHD child.

• Homework Help: Tips for Children With ADHD
• Homework and Children With ADHD
• Teacher Tips: Teaching Math to Students With ADHD

Fearless Fractions

Math phobia is common among school-aged children. But whether the difficulty with completing fraction assignments for homework is an actual phobia or a basic lack of understanding in working with fractions, there is a way to conquer it.

Combine the following elements for fraction success:

• Apply skills for successfully helping with homework (refer to Tips and Strategies for Homework Success and Math Success at Home for ADHD Children sections)
• Use effective examples and practice during fraction homework (refer to Fraction Interaction and Targeting Grade Level Fractions Skills sections)
• Understand you child’s frustrations and learn about fractions yourself (Refer to Understanding the Fraction Challenge Section)

Combining these elements will lead to fraction success for your child, with or without ADHD. Gone are the frustrating homework sessions involving fractions.

• Author’s Own Experience

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Fraction Word Problems Worksheets

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Traverse through our printable fraction word problems worksheets for a wide range of real-world scenarios that involve identifying fractions and equivalent fractions and performing four operations with proper fractions, improper fractions, and mixed numbers. With exclusive theme-based word problems on adding, subtracting, multiplying, and dividing fractions, our free worksheets will see the young beginners and skilled learners practice with relish!

These pdf worksheets are most recommended for students in grade 3 through grade 7.

Identifying Fractions | Worksheet #1

Savor a potpourri of everyday circumstances that have fractions in place. Read the scenarios carefully and pinpoint the fractions that take part in them to solve this free identifying fractions worksheet.

Identifying Fractions | Worksheet #2

Children in 3rd grade and 4th grade need to pore over the fraction word problems, identify the numerators as parts and denominators as whole, and solve them.

Equivalent Fractions Word Problems

Here's an exclusive set that hands out well-researched word problems on equivalent fractions, so compelling that you would instantly want to add it to your repertoire! Grab these printable practice worksheets now!

Adding Fractions Word Problems

Casting around for story problems on fraction addition? Watch kitchen ingredients, handicrafts, and many other familiar objects contribute their bits toward the cause of fractions for addition.

Subtracting Fractions Word Problems

Plug into this bunch of pdf worksheets with interesting word problems on fraction subtraction for grade 3, grade 4, grade 5, and grade 6, and steal the limelight!

Multiplying Fractions Word Problems

Unleash your hidden skills at fraction multiplication through our fraction word problems worksheets, where it's raining relatable situations. Children will discover a whole new way of embracing fractions in their daily lives.

Dividing Fractions Word Problems

A free, must-have resource for 5th grade, 6th grade, and 7th grade students. Tap into the student’s inner genius and watch them perform fraction division with renewed passion!

Related Printable Worksheets

▶ Adding Fractions

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▶ Dividing Fractions

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Fraction Help for Kids: Homework Tips and Tricks

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Learning about fractions is a big part of elementary school math, and it can be a challenge. Read this article for some tips that can help you succeed.

Tips for Working with Fractions

Understand the parts of a fraction.

Students often make mistakes with fraction problems because they confuse the numerator and the denominator. The numerator is the number on top, and the denominator is the number on the bottom of the fraction. To keep these two names straight, remember that ' d enominator' and ' d own' both start with the letter 'd.'

Pay Attention to Denominators

It's easy to forget the rules for adding, subtracting, multiplying and dividing fractions. You can only add and subtract fractions that have common denominators, like 1/ 4 and 3/ 4 . However, you can multiply or divide any fraction by any other fraction, even if their denominators are different. For example, it would be fine to multiply 2/5 and 3/7. It helps to remember that you can only add or subtract numerators ; these operations should not be performed on denominators.

Use the Reciprocal

Many students are confused by the process for dividing fractions because it doesn't actually involve division. To divide two fractions, you actually multiply the first fraction by the reciprocal of the second one.

A reciprocal is just a fraction with its numerator and denominator reversed. For example, the reciprocal of 1/5 is 5/1, and the reciprocal of 7/8 is 8/7. If you're dividing 1/2 by 1/4, you would actually multiply 1/2 by the reciprocal of 1/4, which is 4/1. It looks like this:

1/2 ÷ 1/4 = 1/2 x 4/1 = 4/2 = 2

Reduce Your Answer

It's also common for students to forget to simplify their answers. For instance, the answer to a problem might be 2/8, but some teachers will take off points if it is not fully reduced to 1/4.

To be sure that your answer is fully reduced, list out the factors of both the numerator and the denominator. (A number's factors are all of the numbers that it's divisible by.) If the numerator and denominator have any common factors, then divide them both by the largest one to get the reduced fraction. If they don't have any common factors, then the fraction is fully reduced.

For example, here is how you'd check to see if 6/12 is fully reduced. First, list the factors of six, which are one, two, three and six. The factors of 12 are one, two, three, four, six and 12. The largest common factor on these lists is six, so you can divide the numerator (six) and the denominator (12) by six. Since 6 ÷ 6 = 1 and 12 ÷ 6 = 2, the reduced fraction is 1/2.

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Worksheet on Word Problems on Fractions | Fraction Word Problems with Solutions PDF

Worksheet on Word Problems on Fractional Numbers is here. Know the step-by-step procedure to solve word problems on fractional numbers. Refer to addition, subtraction, multiplication, and division of fractions to know the different model problems. Go through the below sections to know more about the word problems on fractional numbers. Test your knowledge using these word problems.

Problem 1: A family eats 1\(\frac {2}{3} \)kg of rice at a meal. Will 3kg of rice be enough for two meals?

Quantity of rice required for one meal = 1\(\frac {2}{3} \)kg To find the quantity of rice required for two meal we need to add 1\(\frac {2}{3} \) + 1\(\frac {2}{3} \) 1\(\frac {2}{3} \) is in mixed fractional form lets convert it into improper fractional number 1\(\frac {2}{3} \) = \(\frac {5}{3} \) Now quantity of rice required for two meal = \(\frac {5}{3} \) + \(\frac {5}{3} \) =\(\frac {5+5}{3} \) = \(\frac {10}{3} \) \(\frac {5}{3} \) is an improper fractional number to know the quantity in kg lets convert it into mixed fractional form. \(\frac {10}{3} \) = 3\(\frac {1}{3} \) So quantity of rice required for two meal = 3\(\frac {1}{3} \)kg 3kg of rice will not be enough for two meals.

Problem 2: Mary and Jane decided to paint a table. Mary painted \(\frac {1}{2} \) part of the table and Jane painted \(\frac {1}{4} \) part of the table. How much did the girls paint?

Fraction of table painted by Mary = \(\frac {1}{2} \) Fraction of table painted by Jane = \(\frac {1}{4} \) The total fraction of table painted = Fraction of table painted by Mary + Fraction of table painted by Jane Which is, \(\frac {1}{2} \) + \(\frac {1}{4} \) LCM is 4 So, \(\frac {2*1 + 1*1}{4} \) = \(\frac {2 + 1}{4} \) = \(\frac {3}{4} \) Mary and Jane painted \(\frac {3}{4} \) of the table

Problem 3: Minnie wants to prepare a bow with two colors. She has 2\(\frac {1}{3} \)m of red ribbon and 3\(\frac {1}{2} \)m blue ribbon. What is the total length of ribbon she have together?

Length of red ribbon Minne has = 2\(\frac {1}{3} \)m Length of blue ribbon Minne has = 3\(\frac {1}{2} \)m The total length of ribbon = Length of red ribbon + Length of blue ribbon = 2\(\frac {1}{3} \)m + 3\(\frac {1}{2} \)m Let us convert given mixed fractions into improper fractions 2\(\frac {1}{3} \) = \(\frac {7}{3} \) and 3\(\frac {1}{2} \) = \(\frac {7}{2} \) Now total length of ribbon = \(\frac {7}{3} \) + \(\frac {7}{2} \) LCM is 6 \(\frac {7}{3} \) + \(\frac {7}{2} \)  = \(\frac {2*7 + 3*7}{6} \) = \(\frac {14 + 21}{6} \) = \(\frac {35}{6} \) Lets convert \(\frac {35}{6} \) intlo mixed fraction \(\frac {35}{6} \) = 5\(\frac {5}{6} \) Total length of ribbion Minnie has = 5\(\frac {5}{6} \)m

Problem 4: Tommy had 16 books. He completed \(\frac {1}{4} \) of books. How many books does he need to read to complete all books?

Total number of books = 16 Number of books Tommy completed reading = \(\frac {1}{4} \) Which means \(\frac {1}{4} \) of 16 This can be writtne as \(\frac {1}{4} \) * 16 = \(\frac {16}{4} \) = 4 This means Tommy completed reading 4 books Number of books more he needs to read = Total number of books – Number of books completed reading That is 16 – 4 = 12 Number of books Tommy needs to read = 12 books

Problem 5: Sid has \(\frac {1}{4} \) basket of apples and \(\frac {3}{4} \) mangoes. How many baskets of fruits do Sid have?

Quantity of apples in a basket that Sid have = \(\frac {1}{4} \) Quantity of mangoes in a basket that Sid have = \(\frac {3}{4} \) Total number of baskets Sid have = quantity of apples in a basket + Quantity of mangoes in a basket Which is \(\frac {1}{4} \) + \(\frac {3}{4} \) = \(\frac {1+3}{4} \) =\(\frac {4}{4} \) =1 Total number of baskets Sid have = 1

Problem 6: Mickey and Minnie went on a road trip. They traveled \(\frac {4}{6} \)Km in one hour and \(\frac {5}{6} \) km in next hour. How much distance did they travel?

Mickey and Minnie traveled in one hour = \(\frac {4}{6} \)Km Mickey and Minnie traveled in next hour = \(\frac {5}{6} \)Km Total distance traveled by Mickey and Minnie = Distance traveled in one hour+ Distance traveled in next hour Which is \(\frac {4}{6} \)Km + \(\frac {5}{6} \)Km = \(\frac {4+5}{6} \)Km = \(\frac {9}{6} \)Km Distance traveled by Mickey and Minnie in two hours = \(\frac {9}{6} \)Km

Problem 7: Sam, Tom, and Ted were having drinks from a large mango juice pack, Sam drank \(\frac {1}{5} \) from the bottle. Tom drank \(\frac {2}{5} \) and ted drank \(\frac {1}{5} \). How much did they drink all together?

Fraction of juice drank by Sam = \(\frac {1}{5} \) Fraction of juice drank by tom = \(\frac {2}{5} \) Fraction of juice drank by Ted = \(\frac {1}{5} \) The total fraction of juice complted = Fraction of juice drank by Sam + Fraction of juice drank by Tom + Fraction of juice drank by Ted Which is \(\frac {1}{5} \) + \(\frac {2}{5} \) + \(\frac {1}{5} \) = \(\frac {1+ 2 + 1}{5} \) = \(\frac {4}{5} \) Fraction of juice drank all together = \(\frac {4}{5} \)

Problem 8: Bunny and Kitty were at a birthday party. So as a part of a birthday party game Bunny and Kitty starting a cake competition. Bunny ate \(\frac {3}{5} \) of cake and Kitty ate \(\frac {1}{3} \) of cake. Who ate a large piece of cake and won the competition?

Fraction of cake ate by Bunny = \(\frac {3}{5} \) Fraction of cake ate by Kitty = \(\frac {1}{3} \) To know who ate large piece we need to compare both fractions Let us subtract the fraction of cake ate by Bunny and the fraction of cake ate by Kitty Which is, \(\frac {3}{5} \) – \(\frac {1}{3} \) LCM is 15 = ( \(\frac {3}{5} \) * \(\frac {3}{3} \)) – (\(\frac {1}{3} \) * \(\frac {5}{5} \)) = \(\frac {9}{15} \) – \(\frac {5}{15} \) = \(\frac {9 – 5}{15} \) = \(\frac {4}{15} \) Bunny ate a larger piece of cake and won the competition

Problem 9: Bob walks \(\frac {4}{5} \)km in one hour. How many kilometers does he walk in seven hours?

Fraction of distance covered by Bob in one hour = \(\frac {4}{5} \)km Fraction of distance covered by Bob in seven hours =  \(\frac {4}{5} \) * 7 = \(\frac {4}{5} \) * \(\frac {7}{1} \) = \(\frac {4 * 7}{5 * 1} \) = \(\frac {28}{5} \) Fraction of distance covered by Bob in seven hours = \(\frac {28}{5} \)km

Problem 10: Jack ate \(\frac {1}{2} \)kg of sweets and Ame ate \(\frac {3}{10} \)kg of sweets. Who are more?

Quantity of sweet ate by Jack = \(\frac {1}{2} \) Quantity of sweet ate by Ame = \(\frac {3}{10} \) We can compare two fractional numbers by doing cross multiplication. So, let us compare our given fractional numners to find out how ate more sweets Which gives, \(\frac {1}{2} \) * \(\frac {3}{10} \) = \(\frac {1 * 10 }{2 * 3} \) = \(\frac {10}{6} \) We alredy know that 10 > 6 So, \(\frac {1}{2} \) > \(\frac {3}{10} \) Jack ate more sweets

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Homework help

The downsides of free homework help..

How often do use assistance of the Internet in doing your homework? We bet, it's your daily routine to open a browser and start looking for solutions. Do you think the strangers on the other side of the screen will provide necessary information for your math homework help? Unlikely! After one successful task there might be a sad outcome. We want you to be cautious about the websites you look for assistance, that's why we have gathered the disadvantages of asking Google for free homework help.

First, and the main downside is the inability to check the result. People helping you with your task might not know the answers themselves. And what assistance would you get in this case? Wrong answers!

Second, it's the proficiency of the strangers on the other side of the screen. Who are they? College professors who came to provide homework help for free? Or just students like you who might not be able to cope with a simple task. They might not now anything about the subject, or might be way too self-confident and give you wrong answers.

Think twice before using the help from these people. In the next part of the article we describe the most popular sources of homework assistance and give our honest opinion about them.

The best websites for homework help.

When a student is looking for help he always (no exaggeration!) expects it to be free. Of course, being a college student always means being tight on budget and looking for the ways to save money even more. But it should be related to college homework help. Sadly, there are thousands of examples when a bad homework resulted in bad grades, and a poor student had to learn more to pass the exam. That's why we don't recommend to look for answers on the websites like Reddit or Chegg. Why? We explain below.

Chegg homework help is a paid service. You need to buy a monthly subscription to use it. Is it worth it? Depends on your professor. If the tasks you get are strictly from a textbook, then it might be good. To cope with a creative teachers this website has nothing to offer.

The same goes for Reddit homework help. It might be useful when you're looking for solutions on a standard task, the one that dozens of people are struggling with as well. There's nothing these services can offer if you're homework is unique and created by a teacher himself. What to do in this case? Read our recommendations below.

We recommend to try it!

There's an easy and cheap solution that will help you succeed in your studies. A personal assistance with homework created just for your tasks. No need to scroll pages looking for similar tasks and subjects, no need to copy from the screen and guess, if the results are correct. Professionals will perform the task for you! All you have to do is to provide it and enjoy a personalized approach and high quality service. After that you'll never come back to Reddit in search of answers!

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Step by Step Tutorial on How to Solve Fractions with Examples

Are you looking for the best method to lose weight? If yes!! Let’s know how to solve fractions. Sounds weird? Yes, you read it right! You need to know Body Mass Index (BMI) using fractions to lose weight effectively. 

Ladies, does the jeweler give you 18 or 24-karat jewelry? 24 karats are considered pure gold, whereas 18 karats mean 18/24, equal to 75% gold. This is how you can use fractions to know jewelry purity.

This blog will help you to understand how to solve fractions using various methods. Moreover, I have listed some useful tips to use fractions. So, without creating more confusion, let’s understand the concept of fractions in detail. 

Necessary things to know about Fraction!!

Table of Contents

First, understand what fraction is.  

Fraction is basically a numerical quantity or value that is not a whole number, for example, 4/5, 6/7, etc. 

The next thing to learn is the terms used for infractions. So each and every fraction has two parts. 

For example, In the 3/5 fraction, 3 is the numerator, and 5 is the denominator. 

Here 3 states that it is the 3rd part of the whole number, and 5 is signifying that the whole number has 5 parts. 

The second thing to learn about types of fractions. 

There are three types of fractions that we deal with. Let’s check each of them one by one.

• Proper fraction: In this fraction, the numerator has less value as compared to the denominator. 
• Improper fraction: In this fraction, the numerator is always greater than the denominator.
• Mixed fraction: In this fraction, the number is represented as the whole number, which is followed by the fractional numbers.

How to represent fractions in different forms?

Representing the mixed fraction to the whole number..

Let’s understand the steps to solve mixed fractions to the whole number with an example.

Change 7⅘ into the whole number.

Representing the fraction to the decimal number.

The easiest method to change the fraction into decimal is just by dividing the number. Here, you require to divide the numerator with the denominator.

Change the fraction 7/10 into decimal.

Representing the fraction to the percentage.

Three methods can be used for converting the fraction to a percentage. Below, I have given three different methods taking the example 7/20. 

Tutorial step-wise – How to solve Fractions 

Let’s first learn how to add two or more fractions with the help of an example. .

Suppose you have to add 3/4 with 1/4.

Here you can see the denominators are the same, so it is the simplest addition in fractions. 

So the first step in how to solve fractions by addition is to find the common denominators of the numbers. In this problem, both have the same denominator, so the common between them is 4 only. 

So you can write the equation as follows – 

3/4 + 1/4 

If you have different denominators, then also you easily solve the fractions. Let’s learn through different example – 

Suppose you have to add 3/4 with 2/5, then you will have the following equation – 

3/4 + 2/5 

Then the next step to solving this fraction in how to solve fractions is to find out any common denominator. 

Since it has no common denominator, we will multiply both the denominators and add the above numbers. Look at the below to understand better.

= (3+2) / 4×5 

= 5/20 

Now let’s take one more example where we can find the common denominators. 

Suppose the fractions we need to add are ¾ and ⅝

= 3/4 + 5/8 

Now we will find the least common factor that is LCM between the two denominators. 

Then we will get 8 as LCM, and thus the equation will be as follows –

= (3×2 + 5)/ 8 

Since the denominator is 8 and the denominator of the first fraction is 4, so we will multiply the first fraction with 2 to make the denominator of the fraction is 8; thus, the equation will be 

= 11/8 

So the answer is 11/8.

Now let’s learn the subtraction of fractions in how to solve fractions.

Suppose the equation is 3/2 – 1/2 

So we will follow the same process, and we will first bring out the common factor since the denominator is the same in this equation, so there is no such issue. 

Now you can directly put the 2 as a denominator and then subtract the 1 from 3. Follow the steps – 

We have got the answer that is 1. 

Another example of how to solve fractions

5/7 – 2/4 

We can see no common factor between the denominators, so we make the denominators the same by multiplying the first fraction with 4 and the second fraction with 7; then, we will get the following equation. 

= 5×4/7×4 – 2×7/4×7 

We have to make common denominators in order to solve the equation, as then only we can perform the Luther operations in the equation. Thus we will get the following answer – 

=(20-14)/7×4

Now we can see 2 is common to both numerator and denominator, so we can divide the whole fraction with 2 in the following way – 

= 3/14 

Thus the answer is 3/14.

Now let’s learn how to multiply two fractions. This is also very important to learn how to solve fractions. 

Let’s take the following example – 

¾ x ⅕ 

Multiplication is very easy in fractions as you just have to multiply numerators with each other and likewise denominators with each other. 

Then you will get the following result – 

= 3×1 / 4×5 

=3/20 

Thus the answer is 3/20.

Now let’s learn the method of division in fractions in how to solve fractions.

You can take the reciprocal of the fraction to divide the fraction. To reciprocate, you need to switch the denominator to the numerator and the numerator to the denominator.

Let’s take an example of it:

Solve the 1/2 ÷ 1/5.

First, take the reciprocal of 1/5 as 5/1.

Take the reciprocal fraction and multiply it with another number (s).

To solve it, multiply the denominators and numerators:

2 * 1 = 2 (denominator)

1 * 5 = 5 (numerator) 

That is : 1/2 * 5/1 = 5/2 = 2.5

Things to understand to avoid common mistakes in fractions!

It might not be easy to add and subtract the fractions with different denominators. That is why various students fail to solve the fractions with different denominators and make some mistakes. 

First, let’s an example of solving fractions with different denominators .

Now, understand what kind of mistakes students make.

• Misunderstand the requirements of the questions, such as dividing instead of multiplying and so on.
• When students need to add or subtract a fraction, they forget to change the fraction’s denominator. [Like in the above examples 4 and 6 change to 24].
• Moreover, it is noticeable that the numerator also needs to change as that of the denominator. [Like 3 * 6 =18 and 1 * 4 = 4].
• Finally, some students are unable to simplify the equation. [Like 22/24 also written as 11/12 after dividing the number by 2].

Many students are struggling with fractions, and fractions look tough at first instance but are easy when you practice them on a daily basis. 

If you are also searching for how to solve fractions , then we hope that this article would have helped you in understanding the process of solving fractions. If still, you are facing difficulty in solving fractions, then you can contact us anytime. We are always here to help you. Our professionals will give you 24/7 guidance. Get the best math homework help from the experts.

Frequently Asked Questions

Q1. what is the formula for fractions.

Fraction = selected number of parts / total number of parts Each fraction has a numerator, which is equal to the selected number of parts, and a denominator is equal to the total number of parts as a whole.

Q2. What is A and B in fraction?

In the fraction, A and B are considered as A/B. Where the number A is the numerator, whereas the B is the denominator.

Q3. What is 1/3 equivalent to as a fraction?

The 1/3 fraction is equivalent to: 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, and so on.

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Reddit homework help is also quite popular, as most tasks in schools and colleges are taken from the same books. But have your ever thought that free homework help might be dangerous for you? First of all, it’s a wrong answer to the task. Just imagine that you copy something without thinking, and bring it to class. Oops, apparently, the answer is wrong, but you can’t even explain how you were working on this task, because you wasn’t…

One of the most tricky aspects here is math homework help. Sometimes, the right answer is not enough. A student should follow a certain algorithm when solving the task. And professional services will help him with that. No need to worry about any type math: algebra homework help, geometry and other subjects are available.

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Google Search can help you with your math homework thanks to new update

Posted: October 31, 2023 | Last updated: October 31, 2023

Google is updating its search engine and Lens tool with new features to help students visualize and solve tricky math problems.

We’re not talking about basic arithmetic either. The upgraded Google Search can now tackle more complex forms of math like calculus and trigonometry. All you have to do is type in the equation or integral  into the text bar at the top or take a picture of your homework with Lens. You’ll then see a series of step-by-step instructions explaining how to solve it with the answer at the bottom. Geometry is also supported with the company recommending people use Google Lens to solve those since they can have diagrams. You won’t be able to draw shapes into the search bar so uploading a photo of the equation is your best bet. 

Additionally, you can type in word problems for physics questions. Google Search will highlight the “known and unknown values” and then show you the correct formula to use for that particular equation. As an example, if you need to find out the average acceleration of a cyclist going down a hill, it’ll tell you the specific kinetic formula needed. 

The math update is currently live on desktop and the mobile app. Google states you can type the phrase “math solver” in the search bar to try out their new experience on desktop. However, when we did, nothing popped up. It's possible this could be referring to future expansion, but we're not sure. Either way, feel free to directly type the math problem into the search bar. You don’t need to bring up anything else.

Advancement in science

Alongside the mathematics help, Google is rolling out interactive 3D models for certain fields of science such as physics, biology, and chemistry. The diagrams will let you zoom into an object as well as provide definitions of what you’re looking at. 

At the time of this writing, the patch doesn’t appear to be widely available. We saw interactive 3D models for basic concepts like individual parts of a cell and periodic elements, but nothing for specific types of cells or molecules. You can look up a model for an oxygen atom, but not a carbon dioxide molecule for instance. What’s more, nothing had a definition. It was just the model.

We reached out to Google asking if this patch is seeing a global release or will only be available in a few countries like the United States. We’ll update this story if we hear back.

Undoubtedly, this will help students advance in their courses. But don't forget about the hardware. If you're in the market for a computer, be sure to check out TechRadar's list of the best student laptops for 2023.

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Unit 5: Understand fractions

About this unit, fractions intro.

• Intro to fractions (Opens a modal)
• Cutting shapes into equal parts (Opens a modal)
• Identifying unit fractions word problem (Opens a modal)
• Cut shapes into equal parts Get 5 of 7 questions to level up!
• Identify unit fractions Get 5 of 7 questions to level up!

Fractions in contexts

• Fractions in contexts (Opens a modal)
• Fractions in contexts Get 3 of 4 questions to level up!

What fractions mean

• Identifying numerators and denominators (Opens a modal)
• Recognize fractions (Opens a modal)
• Recognizing fractions greater than 1 (Opens a modal)
• Recognize fractions Get 5 of 7 questions to level up!
• Recognize fractions greater than 1 Get 3 of 4 questions to level up!

Fractions on the number line

• Relating number lines to fraction bars (Opens a modal)
• Fractions on a number line (Opens a modal)
• Fractions on number line widget (Opens a modal)
• Finding 1 on the number line (Opens a modal)
• Fractions greater than 1 on the number line (Opens a modal)
• Relate number lines to fraction bars Get 3 of 4 questions to level up!
• Unit fractions on the number line Get 3 of 4 questions to level up!
• Fractions on the number line Get 5 of 7 questions to level up!
• Find 1 on the number line Get 5 of 7 questions to level up!
• Fractions greater than 1 on the number line Get 3 of 4 questions to level up!

Fractions and whole numbers

• Representing 1 as a fraction (Opens a modal)
• Relating fractions to 1 (Opens a modal)
• Whole numbers as fractions (Opens a modal)
• Writing whole numbers as fractions (Opens a modal)
• Understand fractions: FAQ (Opens a modal)
• Relate fractions to 1 Get 5 of 7 questions to level up!
• Write whole numbers as fractions Get 5 of 7 questions to level up!