problem solving involving multiplication of fractions worksheet

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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 the correct procedure to obtain the products. Equipped with answer keys, these pdf resources are available in customary and metric units. Try some multiplying fractions word problems worksheets for free!

Multiplying Fractions by Whole Numbers Word Problems

Impel the eager beavers in 4th grade and 5th grade to multiply fractions by whole numbers through word problems. Kids are required to multiply proper fractions and improper fractions by whole numbers correctly.

• Download the set

Multiplying Fractions by Cross-Cancelling Word Problems

Say a whole-hearted yes to our no-prep printable worksheets on fraction multiplication that have you fully covered! Interpret the word problems and multiply fractions with a special emphasis on cross cancelling.

Multiplying Mixed Numbers Word Problems

Multiplying mixed numbers may initially feel incomprehensible, but practice makes the pain melt away. Let grade 6 and grade 7 kids convert the mixed numbers into fractions and work out the products.

Multiplying Mixed Numbers and Fractions Word Problems

Let not the challenges of obtaining solutions for problems befall you! Our pdf worksheets on multiplying fractions word problems, equipped with answer key for a quick self-validation, help ease into the process.

Themed Fraction Multiplication Word Problems

Revive 5th grade, 6th grade, and 7th grade students' problem-solving fortunes with our themed word problems, featuring a good mix of like fractions, unlike fractions, whole numbers, and mixed numbers!

Related Worksheets

» Multiplying Fractions on a Number Line

» Multiplying Fractions by Whole Numbers

» Multiplying Fractions with Cross Cancelling

» Multiplying Mixed Numbers

» Fraction Word Problems

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 Multiplying fractions word problems

The first two examples will show you how to model the problem with a figure.

Multiplying fractions word problems: How to do this without a figure or an illustration

Adding fractions word problems

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Fraction Multiplication Word Problems Worksheets

• Pre-Algebra >
• Fractions >
• Multiplication >

Hold on to our free multiplying fractions word problems worksheets and rest assured about multiplying fractions! An unbeatable bunch of printable practice worksheets, our resources work like magic when the going gets tough in fraction multiplication! Toss off answers to real-life word problems by simplifying fractions when required and finding the product of proper fractions, improper fractions, and mixed numbers with the correct units. Our pdf fraction multiplication word problems worksheets are equipped with answer keys for quick self-validation, too.

These worksheets are well suited for 4th grade through 7th grade students.

Multiplying Fractions by Whole Numbers Word Problems

Let children swing into action and find the product of fractions and whole numbers with accuracy and speed. Kids are required to multiply proper fractions and improper fractions by whole numbers in the word problems here.

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!

Multiplying 2 Fractions Word Problems

Watch how our multiplying 2 fractions word problems pdfs light a fire under kids. With a range of real-world scenarios to choose from, children in 5th grade and 6th grade will be at their multiplying-fractions best.

Multiplying 3 Fractions Word Problems

Don’t mellow out until kids in grade 7 know multiplying fractions like the back of their hand. This set of multiplying 3 fractions word problems worksheets doubles up as a tool to assess children's multiplication skills.

Multiplying Mixed Numbers Word Problems

Quench learners' quest with the massive practice in our multiplying mixed numbers word problems pdf worksheets. Let them double-check the solutions using the answer keys.

Multiplying Mixed Numbers and Fractions Word Problems

Let children bring their A-game as they solve our multiplying fractions word problem worksheets. Read the problems, find the products of mixed numbers and fractions, and obtain solutions with accuracy and ease!

Related Printable Worksheets

▶ Fraction Division Word Problems

▶ Fraction Addition Word Problems

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Course: 5th grade   >   Unit 6

• Multiplying fractions word problem: muffins
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Multiply fractions word problems

• Multiply fractions: FAQ
• Your answer should be
• a proper fraction, like 1 / 2 ‍   or 6 / 10 ‍  
• an improper fraction, like 10 / 7 ‍   or 14 / 8 ‍  

• 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!

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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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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 Printable Fraction Word Problems Worksheets for 6th Grade

Fraction Word Problems: Discover a collection of free printable Math worksheets for Grade 6 students, focusing on solving real-life scenarios involving fractions. Enhance learning and problem-solving skills with Quizizz's resources.

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Explore printable Fraction Word Problems worksheets for 6th Grade

Fraction Word Problems worksheets for Grade 6 are an essential resource for teachers looking to help their students master the challenging world of fractions in math. These worksheets provide a variety of math word problems that incorporate fractions, allowing students to practice their skills in a fun and engaging way. Teachers can use these worksheets to supplement their lesson plans, provide extra practice for struggling students, or even as a form of assessment to gauge their students' understanding of the material. With a wide range of topics covered, from addition and subtraction of fractions to more complex problems involving ratios and proportions, these Grade 6 worksheets are a valuable tool for any math teacher looking to enhance their students' learning experience.

In addition to Fraction Word Problems worksheets for Grade 6, teachers can also utilize Quizizz, an interactive platform that offers a variety of educational resources, including quizzes, games, and other engaging activities. Quizizz allows teachers to create custom quizzes and games based on the content they are teaching, making it a perfect complement to the worksheets they are already using in their classroom. With Quizizz, students can practice their math skills in a more interactive and enjoyable way, helping to solidify their understanding of the material. Furthermore, Quizizz provides teachers with valuable data and insights into their students' progress, allowing them to identify areas where additional support may be needed. By incorporating both Fraction Word Problems worksheets for Grade 6 and Quizizz into their lesson plans, teachers can provide a well-rounded and effective learning experience for their students.