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## Multiplying fractions word problems

Including estimating.

These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers. Some problems ask students between what numbers does the answer lie? Answers are simplified where possible.

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## Multiplying Fractions Worksheets

Swing into action with this myriad collection of printable multiplying fractions worksheets offering instant preparation for students in grade 4, grade 5, grade 6, and grade 7. Understand multiplication of fractions visually using area models and arrays, practice multiplying fractions and mixed numbers by whole numbers, multiplying two fractions and more. Find the missing terms to complete the fraction multiplication equation, and get accustomed to fraction multiplication in day-to-day life with the wealth of real-life problems here. Grab some of our free multiplying fractions worksheets with answer keys for a great start!

Multiplying Fractions using Number Line Models

Visualize a multiplication sentence on a number line diagram and gain insight into the topic. Acquaint kids with the multiplicand, multiplier and product using the hops drawn at equal intervals on the number line.

(9 Worksheets)

Multiplying Fractions Using Models

Models provide solution strategies and make multiplication of fractions with whole numbers easy. Frame the fraction by counting the shaded parts, and multiply by the number of models to find the product.

- Download the set

Fraction Multiplication Using Arrays

Equip 4th grade and 5th grade kids with our multiplying fractions using arrays worksheets that display an equal distribution of objects in columns and rows to illustrate the product.

Multiplying Fractions Using Area Models

Model each problem on the rectangles, dividing and shading the regions based on the two fractions, and count the overlapping parts to frame the product fraction in these fraction multiplication using area models worksheets.

Completing Multiplication Equations Using Area Models

Check what's missing, it could be the product, the multiplicand, or the multiplier. Keenly observe each of the area models in these printable worksheets, find the missing term, and complete the multiplication equation.

Multiplying Fractions by Whole Numbers

Engage grade 4 and grade 5 kids with this bunch of printable multiplying fractions by whole numbers worksheets, and reinforce skills in multiplying fractions and mixed numbers by single and two-digit whole numbers.

(24 Worksheets)

Multiplying Fractions with Cross Cancelling

Want to work around your deficiencies in multiplying fractions? Practice with the 20+ problems here! Observe the numerators and denominators of the fractions and check for cross cancellation to obtain the product.

(12 Worksheets)

Multiplying Two Fractions

Steal a march on your peers in multiplying two fractions with these pdf worksheets! Multiply the numerators and denominators separately, and reduce the product to the lowest term.

Completing Multiplication Equations | Two Fractions

Throw a little challenge with these completing the fraction multiplication equation pdfs and watch how students weather the storm by finding the missing fraction: the multiplier, multiplicand, or product.

Multiplying Three Fractions

Help 6th grade and 7th grade children gain extensive knowledge of multiplying three fractions, simplifying the product, and converting an improper fraction to mixed numbers, with this stack of exercises.

Find the Missing Term | Three Fractions

Challenge the potential of your students with these printable completing the fraction multiplication equation worksheets and instruct them to find the missing term by flipping the fraction, cross cancelling, and solving.

Multiplying Mixed Numbers

Zero in on multiplying two and three mixed numbers by utilizing this printable resource for grade 6 and grade 7 students. Convert the mixed numbers to improper fractions before you proceed with the operation.

Multiplying Mixed Numbers and Fractions

Here's yet another opportunity for students to maintain proficiency in multiplying fractions! Get into gear and start multiplying mixed numbers with the indicated fractions.

Multiplying Fractions Word Problems Worksheets

How about multiplying fractions in real life? Wouldn’t that be fun? Pore over a potpourri of exciting real-world scenarios that require finding the product of fractions with these pdf worksheets!

(15 Worksheets)

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## Multiplying Fractions Worksheets

Welcome to our Multiplying Fractions Worksheets page. Here you will find a range of free printable sheets and support to help your child learn to multiply fractions by integers or other fractions.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

## Quicklinks to...

Multiplying fractions calculator.

- Multiplying Fractions Support
- Multiplying Mixed Fractions
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## Multiplying Fractions Online Quiz

We have a calculator to help you to multiply two fractions together.

You can multiply mixed numbers or multiply a fraction by an integer too.

All the working out is shown step-by-step so you can see how it is worked out.

- Multiply Fractions Calculator

## How to Multiply Fractions Support

This support page will help you find out all about how to multiply fractions together.

There are several worked examples and a printable support sheet.

Formula for multiplying two fractions

\[{a \over b} \times {c \over d} = {ac \over bd} \]

- How do you Multiply Fractions Support

## About our Multiplying Fractions Worksheets

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a fraction by an integer or another fraction.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

The sheets have been split into two sections:

- The first section contains sheets multiplying fractions by integers
- The second section contains sheets multiplying fractions by other fractions.

Before your child tackles multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

Using these sheets will help your child to:

- multiply a fraction by a whole number;
- multiply 2 fractions together;
- apply their understanding of simplest form;

Want to test yourself to see how well you have understood this skill?

- Try our NEW quick quiz at the bottom of this page.

## Multiplying Fractions by an Integer Worksheets

- Multiply fractions by integer 1
- Sheet 1 Answers
- PDF version
- Multiply fractions by integer 2
- Sheet 2 Answers
- Multiply Fractions 1
- Multiply Fractions 2
- Multiplying Fractions 3
- Sheet 3 Answers
- Multiply Fractions 4
- Sheet 4 Answers
- Multiply Fractions 5
- Sheet 5 Answers

## Multiplying Fractions Walkthrough Video

This short video walkthrough shows several problems from our Multiply Fractions Worksheet 2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

## More Recommended Math Resources

Take a look at some more of our worksheets and resources similar to these.

## Multiplying and Dividing Fractions Support Pages

Take a look at some of our other multiplying and dividing fractions support pages if you need more help with multiplying or dividing fractions.

- How to Multiply Mixed Fractions support page
- How to Divide Fractions
- How to Divide Mixed Numbers

## Multiplying and Dividing Fractions Worksheets

We have more worksheets to help your child learn and practice multiplying and dividing fractions.

All the sheets are carefully graded with different levels of support.

Take a look at our full range below.

- Multiplying Mixed Fractions Worksheets
- Dividing Fractions Worksheets
- Dividing Fractions by Whole Numbers
- Dividing Mixed Fractions Worksheets
- Multiplying and Dividing Fractions (Randomly Generated)
- Add Subtract Multiply Divide Fractions (Randomly Generated)

## How to Convert Improper Fractions

This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.

You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.

- Convert Improper Fractions Support

## Simplifying Fractions

This is also sometimes called reducing fractions to their simplest form.

This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.

The printable fraction page below contains more support, examples and practice about simplifying fractions.

- How to Simplify Fractions support page
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## Multiplying Fractions

Students will find the products of fraction pairs in these worksheets. This page is divided into four subheaders: multiplying fractions, multiplying fractions by whole numbers, multiplying mixed numbers, and mixed skills.

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## Multiplying Fractions by Whole Numbers

Mixed skills: multiplying fractions, whole numbers, and mixed numbers, multiplying mixed numbers.

Practice dividing fractions and mixed numbers with these printable pages. Many worksheets include illustrations and models, as well as word problems.

Worksheets for teaching basic fraction recognition skills and fraction concepts, as well as operations with fractions.

Add fractions with same and different denominators; Also add mixed numbers

You may also want to check out these worksheets on reciprocal fractions.

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## Multiplying Fractions Worksheets

When multiplying fractions, students need to do cross cancellations, if possible. Then they can give the answer in mixed or proper fractions.

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## Multiplying Fractions Worksheets

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Power through our free multiplying fractions worksheets and emerge victorious by multiplying fractions with nuance! Equipped with answer keys, the vast range of printables here help students perform the multiplication of fractions by multiplying fractions using visual models, cross canceling, and themed problems; finding the missing fractions; and more.

Our pdf prepping tools are suitable for grade 4, grade 5, grade 6, and grade 7.

## Exclusive Multiplying Fractions Worksheets

Multiplying Fractions on a Number Line

Multiplying Fractions Using Visual Models

Multiplying Fractions by Repeated Addition

Multiplying Fractions with Whole Numbers

Multiplying Fractions by Cross Cancelling

Multiplying Two Fractions

Multiplying Three Fractions

Multiplying Mixed Numbers

Multiplying Fractions Word Problems

What better way there is, if not number lines, to get children to conceive of multiplying fractions and whole numbers? Study the hops and intervals on the number line diagrams, and obtain the product!

A visual guide, this section of our printable multiplying fractions worksheets helps children distinguish themselves by brilliantly performing the multiplication of fractions using number lines and other colorful illustrations.

Explore an alternative method to multiply fractions with these pdfs. Direct kids in grade 4 and grade 5 to add the fraction the same number of times as the whole number.

Master multiplying fractions and whole numbers with these pdfs designed for students in 4th grade and 5th grade. The whole number should be multiplied by the numerator of the fraction, and the denominator must be left as it is.

Watch young learners do you proud by identifying and crossing out the multiples diagonally in each pair of fractions in this assemblage of multiplying fractions worksheets.

Here’s an excellent resource with word problems, a part of our multiplying fractions worksheets, that helps grade 6 and grade 7 students progressively improve their scores so working out the products of two fractions is no sweat.

This set of multiplying three fractions worksheet pdfs requires children to find the product of three fractions and reduce to the lowest terms whenever possible.

Thanks to our resources, not only does multiplying mixed numbers not need to be an intimidating affair, but kids in 6th grade and 7th grade will convert mixed numbers into fractions and find the products twice as quickly.

Bring in a burst of energy in your math sessions with this vast collection of worksheets on fraction multiplication, awash with exciting, high-spirited word problems.

Related Printable Worksheets

▶ Adding Fractions

▶ Subtracting Fractions

▶ Dividing Fractions

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Worksheet on Multiplication of Fractions

In worksheet on multiplication of fractions, the questions are based on multiplying fractions; finding products; simplifying fractions to its lowest terms and also word problems on multiplying fractions . This exercise sheet on multiply fractions has different types of questions that can be practiced by the seventh grade math students to get more ideas to solve all types of questions in worksheet on multiplication of fractions.

1. Multiply the fractions: (i) 7/11 by 3/5 (ii) 3/5 by 25 (iii) 3⁴/₁₅ by 24 (iv) 3¹/₈ by 4\(\frac{10}{11}\)

2. Find the product of the fractions:

(i) 4/7 × 14/25 (ii) 7¹/₂ × 2⁴/₁₅ (iii) 3⁶/₇ × 4²/₃ (iv) 6¹¹/₁₄ × 3¹/₂ 3. Simplify the fractions: (i) 12/25 × 15/28 × 35/36 (ii) 10/27 × 39/56 × 28/65 (iii) 2²/₁₇ × 7²/₉ × 1³³/₅₂

4. Find the product of the fractions: (i) 1/2 of 4²/₉ (ii) 5/8 of 9²/₃ (iii) 2/3 of 9/16

5. Which is greater? 1/2 of 6/7 or 2/3 of 3/7

6. Find: (i) 7/11 of $ 330 (ii) 5/9 of 108 meters (iii) 3/7 of 42 litres (iv) 1/12 of an hour (v) 5/6 of a year (vi) 3/20 of a kg (vii) 7/20 of a litre (viii) 5/6 of a day (ix) 2/7 of a week 7. Sara plants 4 saplings in a row in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling. 8. Ronald reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2¹/₅ hours? 9. Laura reads a book for 1³/₄ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book? 10. Find the area of a rectangular park which is 41²/₃ m long and 18³/₅ m broad. 11. If milk is available at $ 17³/₄ per litre, find the cost of 7²/₅ litres of milk. 12. Sharon can walk 8¹/₃ km in one hour. How much distance will she cover in 2²/₅ hours? 13. A sugar bag contains 30 kg of sugar. After consuming bag ²/₃ of it, how much sugar is left in the bag? 14. Each side of a square is 6²/₃ m long. Find its area. 15. There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?

Students can check the answers of the worksheet on multiplication of fractions given below to make sure that the answers are correct.

1. (i) 21/55 (ii) 15 (iii) 78²/₅ (iv) 15¹⁵/₄₄

2. (i) 8/25 (ii) 17 (iii) 18 (iv) 23³/₄ 3. (i) 1/4 (ii) 1/9 (iii) 25 4. (i) 2¹/₉ (ii) 6¹/₂₄ (iii) 3/8

5. 1/2 of 6/7

6. (i) $ 210 (ii) 60 meters (iii) 18 litres (iv) 5 minutes (v) 10 months (vi) 150 gms (vii) 350 ml (viii) 20 hours (ix) 2 days 7. 3 m 8. 11/15 9. 10¹/₂ hours 10. 775 m² 11. $ 131⁷/₂₀ 12. 20 km 13. 10 kg 14. 44⁴/₉ m² 15. 18

If students have any queries regarding the questions given in the worksheet on multiplication of fractions, please fill-up the comment box so that we can help you. However, suggestions for further improvement, from all quarters would be greatly appreciated.

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## Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

- 6th Grade Math
- Multiplying fractions

## 6th Grade multiplying fractions worksheets with answers

Hello! Are you ready to engage in another enjoyable math adventure? Then join us today, and let’s discuss multiplying fractions skills. In this article, we’ll share an outstanding collection of 6th Grade multiplying fractions worksheets with answers covering fun and engaging activities and exercises for multiplying fractions.

## Learn how to multiply fractions like a pro in 6th Grade with engaging printable worksheets

In 6th grade, understanding and multiplying fractions is a crucial skill that sets the foundation for advanced math concepts. But fear not because we have the solution to make learning fractions a breeze. Our aim for introducing Mathskills4kids’ engaging and printable worksheets is to help your child in 6 th Grade learn how to multiply fractions like a pro .

These worksheets are carefully crafted to ensure your child will grasp multiplying fractions and find joy. With colorful visuals, interactive exercises, and step-by-step explanations, our worksheets provide a hands-on learning experience that will keep your child engaged and motivated.

Whether your child is a visual learner or prefers a more hands-on approach, our worksheets cater to all learning styles. So, say goodbye to those confusing fractions and hello to confidence in math. Get ready to multiply fractions easily with our captivating printable worksheets for 6th-grade students!

## BROWSE THE WEBSITE

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## Start practice on Sixth Grade here

Why 6th-grade students need to learn how to multiply fractions.

Do you know why 6th-grade students need to learn how to multiply fractions ? Maybe no. This is because, aside from being an essential skill in 6 th Grade, the fractions multiplication concept helps students understand the concept of fractions as parts of a whole and how to combine fractions with different denominators.

Multiplying fractions also prepare 6 th graders for more advanced topics in math, such as ratios, proportions, decimals, and algebra. By learning how to multiply fractions, 6th-grade students can solve real-world problems involving fractions, such as finding the area of a rectangle, scaling a recipe, or dividing a pizza.

## Benefits of using Mathskills4kids’ printable worksheets for fractions multiplication practice

Mathskills4kids’ Printable worksheets are among the best ways to help 6th-grade students practice fractions multiplication . Printable worksheets offer many benefits , such as:

- They provide a variety of problems with different levels of difficulty and formats, such as word problems, equations, and diagrams.
- They allow students to work at their own pace and check their answers with the answer key.
- They can be used individually or in groups in class or at home.
- They can be customized to suit the needs and interests of each student by choosing the topics, themes, and number of problems.
- They provide an answer sheet guide for quick and easy corrections.
- They can be used to review, reinforce, or extend the concepts taught in the lesson.

## How to effectively use Mathskills4kids’ printable worksheets for multiplying fractions

To make the most of Mathskills4kids’ printable worksheets for multiplying fractions , here are some tips:

- Before giving the worksheets to the students, review the steps and rules for multiplying fractions, such as finding the common denominator, simplifying the fractions, and cross-canceling.
- Explain the purpose and objectives of each worksheet, and give clear instructions on how to complete it.
- Monitor the student's progress and provide feedback and guidance as needed.
- Encourage the students to show their work and explain their reasoning for each problem.
- Review the worksheets with the whole class and discuss the solutions and strategies used by the students.

## Tips for teaching multiplication of fractions

Teaching multiplication of fractions can be challenging but also rewarding. Here are some tips to make it easier and more effective:

- Start with simple fractions with common denominators that can be easily multiplied mentally or with a calculator.
- Use concrete examples and contexts that relate to the students' lives and interests, such as sports, music, or food.
- Use multiple representations and methods to show how to multiply fractions, such as pictures, diagrams, number lines, area models, or algorithms.
- Connect multiplying fractions to other math concepts and operations that the students already know, such as adding fractions, dividing fractions, or multiplying whole numbers.
- Scaffold the learning process by gradually increasing the complexity and variety of the problems and fractions.

## Common mistakes to avoid when multiplying fractions

When multiplying fractions, 6th-grade students may make mistakes that can affect their accuracy and understanding. Some of the common mistakes to avoid when multiplying fractions are:

- Forgetting to find the common denominator before multiplying fractions with different denominators.
- Forgetting to simplify or reduce the fractions before or after multiplying them.
- Forgetting to cross-cancel or cross-multiply when multiplying fractions in their lowest terms.
- Confusing the order of operations when multiplying fractions with mixed numbers or other operations.
- Confusing multiplying fractions with adding or subtracting fractions.

Teachers should emphasize the importance of following the steps and rules for multiplying fractions correctly to avoid these mistakes. They should also model how to check the answers for reasonableness and accuracy.

## Multiply fractions: Meaning and example

Fractions are parts of a whole, and multiplying them means finding how many parts of one fraction are in another. For example, if you have 2/3 of a pizza and want to share it with 4 friends, how much pizza does each friend get? To find out, multiply 2/3 by 1/4, i.e., the fraction representing one friend's share.

To multiply fractions, you need to follow these steps:

- Multiply the numerators (the top numbers) of both fractions. In our example, that would be 2 x 1 = 2.
- Multiply the denominators (the bottom numbers) of both fractions. In our example, that would be 3 x 4 = 12.
- Simplify the resulting fraction by dividing the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest number that can divide both numbers evenly. In our example, the GCF of 2 and 12 is 2, so we divide both by 2 and get 1/6.

The final answer is 1/6, which means each friend gets one-sixth of the pizza. You can check your answer by adding all the fractions and seeing if they equal the original fraction. In our example, if we add up 1/6 four times, we get 4/6, equivalent to 2/3.

## Engaging activities and exercises for multiplying fractions

Besides Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers , there are many other fun and engaging activities and exercises that can help 6th-grade students practice multiplying fractions, such as:

- Playing games that involve multiplying fractions, such as bingo, dominoes, or card games.
- Using manipulatives representing fractions, such as fraction strips, fraction circles, or fraction bars.
- Creating posters or presentations illustrating fractions multiplication using visual models or real-life examples.
- Making crafts or recipes that require multiplying fractions , such as paper snowflakes, origami animals, or cookies.
- Taking quizzes or tests that assess the student's understanding and skills in multiplying fractions.

More fun and engaging activities and exercises to improve 6 th grader’s multiplying fractions skills are:

To play, one person draws a fraction card and reads it aloud. Then, everyone multiplies the fraction by another fraction of their choice and looks for the answer on their bingo card. The first person to get five answers in a row, column, or diagonal wins.

To play, shuffle the dominoes and deal seven to each player. The rest of the dominoes form the draw pile. The first player places a domino on the table. Then, each player takes turns placing a domino next to an existing one so that the fraction product on one end matches the fraction on the other.

If a player cannot place a domino, they will draw one from the pile. The game ends when one player runs out of dominoes or when no one can place a domino. The player with the least number of dominoes left wins.

They will need a set of fraction puzzle pieces to be made or bought online. To do this activity, choose a puzzle and separate the pieces. Then, solve each fraction multiplication problem on the pieces and find the matching piece with the answer. Fit the pieces together until the picture is complete.

## Bonus: Resources for boosting multiplying fractions skills for 6th-graders

If you want to help your 6th-grade students master multiplying fractions, you can also use some online resources that offer interactive games, videos, quizzes, and more. Here are some of the best websites that you can use to supplement Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers :

- Math Playground : This website has a variety of fun and challenging games that let students practice multiplying fractions in different contexts, such as pizza, candy, and fractions of fractions. Students can also watch videos explaining multiplying fractions concepts and strategies. https://www.mathplayground.com/index_fractions.html .
- Khan Academy : This website has a comprehensive course on multiplying fractions that covers everything from the basics to the advanced topics, such as mixed numbers, word problems, and cross-canceling. Students can watch videos, do exercises, and take quizzes to check their understanding and progress. https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions .
- IXL : This website has many practice questions on multiplying fractions aligned with the Common Core standards. Students can choose from different difficulty levels and get instant feedback and explanations. They can also earn awards and certificates for their achievements. https://www.ixl.com/math/grade-6/multiply-fractions .
- Math Games : This website has many engaging and interactive games that let students practice multiplying fractions in a fun way. Students can play against the computer or with other players online. They can also customize their avatars and earn coins and trophies. https://www.mathgames.com/skill/6.42-multiply-fractions .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Multiplying fractions is an essential skill that 6th-grade students need to learn and master. It helps them develop their mathematical thinking and problem-solving abilities.

By using Mathskills4kids’ 6th Grade multiplying fractions worksheets with answers and other activities and exercises, teachers can help their students practice and reinforce their multiplying fractions skills.

Also, with fun tips and strategies, teachers can make their teaching more effective and engaging. Moreover, with the suggested online resources in this article, teachers can provide more opportunities and challenges for their students and encourage their 6th-grade them to excel in multiplying fractions and enjoy math.

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## 6 Free Multiplying and Dividing Fractions Word Problems Worksheets

This article will show you the multiplying and dividing fractions word problems worksheets. After reading this article, you will be able to know the procedure of multiplying and dividing fractions with some fundamental word problems. This article is suitable for grade 4 and 5 students.

Download the following worksheets and practice more.

Word Problems 1

Word Problems 2

Word Problems 3

Word Problems 4

Word Problems 5

Word Problems 6

Fractions are common phenomena in mathematical operations. Multiplying and dividing fractions are quite tricky parts of math for 4th-grade or 5th-grade students.

## Step by Step Solution of a Word Problem for Multiplying and Dividing Fractions

With the aid of these multiplying and dividing fractions word problems worksheets pdf, our kids will be able to master fundamental mathematics quickly and actively. Follow the steps given below and solve the problems.

A restaurant brought 5 ⅓ pounds of flour. They needed to spend 25 ⅔ dollars in total to buy that amount of flour. How many dollars were spent on one unit of flour?

Step 1: Point out the Fractions

In this step, point out the fractions. Here, the amount of flour is 5 ⅓ pounds and cost is 25 ⅔ dollars.

Step 2: Change the Mixed Fraction into Improper Fractions

Change the mixed fractions into improper fractions here. First, multiply the denominator by the whole number and then add the product to the numerator. You will get the improper fractions: 5 ⅓ = 16/3 and 25 ⅔ = 77/3

Step 3: Get the Unit Cost

Divide the total cost by the total amount of flour. You will find the unit cost here. Therefore, 77/3 / 16/3 After flipping, 77/3 x 3/16 = 77/16 = 4 13/16. So the unit cost is 4 13/16.

## Download Free PDF Worksheet

Please download the following pdf with worksheets for 4th and 5th-grade students.

So today, we’ve discussed multiplying and dividing fractions with multiplying and dividing fractions word problems worksheets using the concepts of interactive word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of multiplication and division.

Hi there! This is Souptik Roy, a graduate of the Bangladesh University of Engineering and Technology, working as a Content Developer for the You Have Got This Math project of SOFTEKO. I am a person with a curious and creative mind. After finishing my Engineering degree, I want to explore different fields. This is why I am working here as a content developer. I have a massive interest in creative content writing. When I find that someone can learn something from my articles, this gives a lot of inspiration. hopefully, you will find interest in my article, if you have a child and want to teach them math with fun.

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## Multiplying Fractions Questions

Practising multiplying fractions questions with solutions is essential to improve children’s skills in fractions. Multiplication of fractions is quite simple; to multiply two fractions, we just have to multiply numerator to numerator and denominator to the denominator. Unlike addition and subtraction of fractions, while multiplying fractions, we do not have to make the denominator the same.

Learn more about fractions .

## Video Lesson on Like and Unlike Fractions

## Multiplying Fractions Questions with Solutions

Now let us solve questions on the multiplication of fractions.

Question 1:

Solve the following:

(ii) 9/7 × ⅜

(iii) ⅘ × ⅚

= (2 × 3)/(3 × 5)

= 6/15 reducing the fraction to the lowest form

= (9 × 3)/(7 × 8)

\(\begin{array}{l}=\frac{4}{\not{5}}\times \frac{\not{{5}}}{6}\end{array} \)

= 4/6 reducing the fraction to the lowest form

Question 2:

Simplify the following:

(i) 2½ × 3⅓

(ii) 3¼ × 5 2 / 9

(iii) 4 1 / 7 × 3 1 / 8

Converting the mixed fraction into the improper fraction

= 5/2 × 10/3

= 25/3 = 8⅓.

(ii) 3 1 / 4 × 5 2 / 9

= 13/4 × 47/9

= (13 × 47)/(4 × 9)

\(\begin{array}{l}=16\frac{35}{36}\end{array} \)

= 29/7 × 25/8

= (29 × 25)/(7 × 8)

\(\begin{array}{l}=12\frac{53}{56}\end{array} \)

Also, Refer:

- Mixed to Improper Fractions
- Mixed to Improper Fraction Calculator
- Improper to Mixed Fraction Calculator

Question 3:

Work out the following and express them in the simplest form:

(i) 22/3 ÷ 11/5

(ii) 34/35 ÷ 6/7

(iii) 56/3 ÷ 9/17

Convert the division into multiplication by taking the reciprocal of the divisor fraction

= 22/3 × 5/11

= 34/35 × 7/6

\(\begin{array}{l}=1\frac{2}{15}\end{array} \)

= 56/3 × 17/9

\(\begin{array}{l}=35\frac{7}{27}\end{array} \)

Question 4:

(i) 26 × 1/13 ÷ 5/169

(ii) 6.4 × ⅘ ÷ ⅔

(iii) 2.98 ÷ ¾ × ⅖

According to the BODMAS rule, we first perform division followed by multiplication.

= 26 × (1/13 ÷ 5/169)

= 26 × (1/13 × 169/5)

= 26 × 13/5

\(\begin{array}{l}=67\frac{3}{5}\end{array} \)

= 64/10 × (⅘ ÷ ⅔)

= 64/10 × (⅘ × 3/2)

= 64/10 × 6/5

\(\begin{array}{l}=7\frac{17}{25}\end{array} \)

= (298/100 ÷ 3/4) × ⅖

= (298/100 × 4/3) × ⅖

= 298/(25 × 3) × ⅖

= 298/75 × ⅖

Question 5:

The length and the width of a rectangular park are 39/4 m and 25/3 m, respectively. Find the area of the park.

Length of the park = 39/4

Width of the park = 25/3

Area of the rectangular park = 39/4 × 25/3

= (13 × 25)/4 = 325/4 = 81.25 m 2 .

Question 6:

A household has an overhead water tank of 1000 litres. Every day 4/5th of the tank is used for household purposes. Find the amount of water needed for a week.

The capacity of the tank = 1000 litres

Amount of water used everyday = 4/5th of 1000 litres

= ⅘ × 1000 = 4 × 200 = 800 litres

Amount of water required for a week = 7 × 800 = 5600 litres.

Question 7:

A farmer plants the sapling of a plant at a uniform distance of 5/3 cm. If he plants 27 such saplings in a row, find the total distance between the first and the last sapling.

Distance between each sapling = 5/3 cm

Number of saplings in a row = 27

Distance between first and the last sapling = 5/3 × 27 = 5 × 9 = 45 cm.

Question 8:

The area of the triangle is 145/3 cm 2 . If the base length of the triangle is ⅔ cm, find the height of the triangle.

The base of the triangle = ⅔ cm

Area of the triangle = ½ × base × height = 145/3 cm 2

⇒ ½ × ⅔ × height = 145/3

⇒ height = 145/3 ÷ ⅓

⇒ height = 145/3 × 3 = 145 cm

Question 9:

Find the following:

(i) 2/5th of a day.

(ii) ¼th of a kilometre.

(iii) 3/4th of a year.

(i) 2/5th of a day

Now, 1 day = 24 hours

⅖ × 24 hours = 48/5

= 9.6 hours

= 9 hours 36 minutes.

(ii) ¼th of a kilometre

1 km = 1000 m

1 year = 12 months

3/4 × 12 = 9 months.

Question 10:

In a class of 60 students, two-thirds are boys. How many girls are there in the class?

Number of students = 60

Number of boys = 60 × ⅔ = 40

Number of girls = 60 – 40 = 20.

## Practice Questions on Multiplying Fractions

1. Evaluate the following:

(ii) 4/7 × 9/21

(iii) 45/7 × 3½

(iv) 19 6 / 7 × 13½

(vi) 34/5 ÷ 6/7

(vii) 2 ÷ ⅘

(viii) ⅞ ÷ 13

(ix) ⅚ ÷ 9 6 / 5

(x) 12 × ¾ ÷ 1/2

2. Find the base of the triangle whose height is 4⅗ cm and the area is 28/35 cm 2 .

3. Three times more flour is needed to make a large cake than a small one. If 3⅕ kg flour is needed to make a large size cake, how much flour is needed to make a small size cake?

Keep visiting BYJU’S to get more such Maths lessons in a simple, concise and easy-to-understand way. Also, register at BYJU’S – The Learning App to get complete assistance for Maths preparation with video lessons, notes, tips and other study materials.

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## Free Equivalent Fractions Worksheets

Get ’em while they’re hot!

Equivalent fractions are fractions with different numerators and denominators that represent the same value. They can be especially tricky for students to learn because although they look different, their values are the same. So if you’re introducing the concept to your 3rd or 4th graders (or have kids who are struggling with the concept), these equivalent fractions worksheets are for you. Don’t miss out on our newest bundle! Just fill out the form on this page to get all the worksheets described below.

## Equivalent Fractions Using Models

Our first worksheet has students practicing equivalent fractions using models. We used different shapes and also have students dividing the shapes themselves before shading.

## Equivalent Fractions Using Number Lines

Practicing equivalent fractions on a number line provides a visual representation of how fractions occupy different points along the line while representing the same portion of the whole.

## Equivalent Fractions Using Multiplication

Equivalent fractions can be found by multiplying or dividing the numerator and denominator by the same number. This worksheet provides practice for both. Get more multiplication practice here .

## Mystery Picture

The equivalent fractions mystery picture worksheet is a fun and colorful way for students to test their knowledge of equivalent fractions. It’s also a great way to motivate creative kids!

## Review Page

Ready to assess your students? Grab the equivalent fractions review page with some of each of the types of practice featured in the bundle plus a word problem.

## Ready to save and print your free equivalent fractions worksheets?

Just click the button below to fill out the form at the top of this page to get instant access to all the worksheets mentioned above.

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These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers. Some problems ask students between what numbers does the answer lie? Answers are simplified where possible. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.

Fraction Multiplication Word Problems Worksheets. Our printable worksheets on multiplying fractions word problems task grade 4 through grade 7 students with reading and solving realistic scenarios by performing fraction multiplication. The problems feature both common and uncommon denominators, so the budding problem-solving stars must follow ...

Multiplying Fractions Using Area Models. Model each problem on the rectangles, dividing and shading the regions based on the two fractions, and count the overlapping parts to frame the product fraction in these fraction multiplication using area models worksheets. Download the set. Completing Multiplication Equations Using Area Models.

Then in 5th grade, they learn to multiply fractions by fractions and by mixed numbers. In 6th and 7th grades, students simply practice fraction multiplication using larger denominators and more complex problems. Jump to: Grade 4; Grade 5; Grades 6-7; Basic instructions for the worksheets. Each worksheet is randomly generated and thus unique.

The second section contains sheets multiplying fractions by other fractions. Before your child tackles multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form. Using these sheets will help your child to: multiply a fraction by a whole number; multiply 2 fractions together;

This worksheet has an explanation box to show students how to multiply fractions, followed by 11 practice problems. 5th and 6th Grades. View PDF. Word Problems: Multiplying Fractions. Multiply fractions to solve each word problem. Make sure to simplify if possible, and show your work. 4th through 6th Grades.

Multiplying Fractions by Cross Cancelling Word Problems. Grade 4, grade 5, and grade 6 kids will gain an advantage over their peers by solving these exclusive multiplying fractions word problems worksheets. The set heavily relies on cross cancelling, so the job is twice as easy! Grab the Worksheet.

First solve 3 x 5/8. Multiplying these two numbers gives the answer as 15/8 or 1 7/8 Now color three times 5/8. Count five parts out of eight and color them. Again count and color 10 more parts. In all, color 15 parts of the two circles.

Tags: 4th Grade 5th Grade 6th Grade. When multiplying fractions, students need to do cross cancellations, if possible. Then they can give the answer in mixed or proper fractions. Download PDF. Download PDF. Download PDF. Download PDF. Download PDF. Download PDF.

3. Next, we will need to find equivalent fractions for both of our fractions. 1/4 x 3/3 = 3/12 and 1/3 x 4/4 = 4/12. 4. Now all that is left is to subtract 3 part and then 4 parts. 5. Finally, we can see that there 5/12 of the cake left. Word Problems are an important part of math instruction, and how we do math in everyday life. Enjoy working ...

Power through our free multiplying fractions worksheets and emerge victorious by multiplying fractions with nuance! Equipped with answer keys, the vast range of printables here help students perform the multiplication of fractions by multiplying fractions using visual models, cross canceling, and themed problems; finding the missing fractions ...

Click here for Answers. . multiplication. Practice Questions. Increasing/Decreasing by a Fraction Practice Questions. Next: Conversion Graphs Practice Questions. The Corbettmaths Practice Questions on Multiplying Fractions.

This exercise sheet on multiply fractions has different types of questions that can be practiced by the seventh grade math students to get more ideas to solve all types of questions in worksheet on multiplication of fractions. 1. Multiply the fractions: (i) 7/11 by 3/5. (ii) 3/5 by 25. (iii) 3⁴/₁₅ by 24. (iv) 3¹/₈ by 410 11 10 11.

Fraction worksheets 1 Fraction addition, subtraction, multiplication, and division. This worksheet generator produces a variety of worksheets for the four basic operations (addition, subtraction, multiplication, and division) with fractions and mixed numbers, including with negative fractions. You can make the worksheets in both html and PDF ...

Multiplying Fractions Word Problems For each word problem, multiply the fractions together to find the answer. Show your working out. 1. A group of children play in an orchestra. of the children play a brass instrument. Of these children, play a trumpet. What fraction of the group of children play a trumpet? 2. Sammy has a bag of sweets. of the ...

Mathskills4kids' Printable worksheets are among the best ways to help 6th-grade students practice fractions multiplication.Printable worksheets offer many benefits, such as:. They provide a variety of problems with different levels of difficulty and formats, such as word problems, equations, and diagrams.

Analysis: To solve this problem, we will divide the first mixed number by the second. First, we will convert each mixed number into an improper fraction. Solution: Answer: The warehouse will have 2 and 2/25 pieces of tape. Summary: In this lesson we learned how to solve word problems involving multiplication and division of fractions and mixed ...

Step 2: Change the Mixed Fraction into Improper Fractions. Change the mixed fractions into improper fractions here. First, multiply the denominator by the whole number and then add the product to the numerator. You will get the improper fractions: 5 ⅓ = 16/3 and 25 ⅔ = 77/3. Step 3: Get the Unit Cost.

Mixed to Improper Fractions; Mixed to Improper Fraction Calculator; Improper to Mixed Fraction Calculator; Question 3: Work out the following and express them in the simplest form: (i) 22/3 ÷ 11/5 (ii) 34/35 ÷ 6/7 (iii) 56/3 ÷ 9/17 . Solution: (i) 22/3 ÷ 11/5 . Convert the division into multiplication by taking the reciprocal of the divisor ...

Ready to save and print your free equivalent fractions worksheets? Just click the button below to fill out the form at the top of this page to get instant access to all the worksheets mentioned above. These equivalent fractions worksheets are ideal for grades 3 and 4 and include using models, number lines, and multiplication.