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9.4 Use Models to Multiply Fractions - Printable Math Worksheets year 5 - Wayground

9.4 Use Models to Multiply Fractions

Michael Simonelli

Created by Michael Simonelli

10 questions

5th Grade

Math

This Grade 5 mathematics worksheet focuses on using area models to multiply fractions. Students complete nine fill-in-the-blank items by finding fraction products and writing each answer in simplest form, then answer one multiple-choice question that asks them to identify the equation represented by a model. The worksheet reinforces interpreting a model before recording a product and simplifying the result. The final three problems apply fraction multiplication to real-world and classroom situations, including finding a fraction of a quantity and combining fractional masses. These items help students connect visual models and equations to word-problem reasoning. This free printable worksheet includes a complete answer key and is designed for Grade 5 practice, independent work, review, or a focused check of understanding.

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9.4 Use Models to Multiply Fractions

Total questions: 10

Name
Class
Date
1.

12×34\frac{1}{2}\times\frac{3}{4}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

2.

23×25\frac{2}{3}\times\frac{2}{5}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

3.

16×12\frac{1}{6}\times\frac{1}{2}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

4.

58×25\frac{5}{8}\times\frac{2}{5}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

5.

45×34\frac{4}{5}\times\frac{3}{4}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

6.

38×56\frac{3}{8}\times\frac{5}{6}

Use an area model to find the product. Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. Example of answer: 3/19

(a)  

7.
Which of the following equations is shown by the model? NOTE: The answer of the equation has NOT been simplified.

Which of the following equations is shown by the model? NOTE: The answer of the equation has NOT been simplified.

a)

57×24=428\frac{5}{7}\times\frac{2}{4}=\frac{4}{28}

b)

1028×428=1028\frac{10}{28}\times\frac{4}{28}=\frac{10}{28}

c)

57×24=1028\frac{5}{7}\times\frac{2}{4}=\frac{10}{28}

d)

75×42=1028\frac{7}{5}\times\frac{4}{2}=\frac{10}{28}

8.

Mrs. Costa bought 45\frac{4}{5} pound of beef. She only cooked 23\frac{2}{3} of the package. What fraction of the package did she cook?

Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. You do not need to label your answer.

Example of answer: 3/19

(a)  

9.

Two-thirds of the students in class have brunette hair. Out of those students, half of them wear glasses. What fraction of the class has brunette hair and glasses?

Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. You do not need to label your answer.

Example of answer: 3/19

(a)  

10.

The mass of a cantaloupe is 35\frac{3}{5} kilogram. The mass of a banana is 13\frac{1}{3} the mass of the cantaloupe. What is the COMBINED mass of the cantaloupe and banana?

Write your answer in simplest form. Use the "slash" key as the fraction bar with no spaces. You do not need to label your answer.

Example of answer: 3/19

(a)  

WaygroundAnswer Key

9.4 Use Models to Multiply Fractions

Total questions: 10

1.
3/8
2.
4/15
3.
1/12
4.
1/4
5.
3/5
6.
5/16
7.
c)

57×24=1028\frac{5}{7}\times\frac{2}{4}=\frac{10}{28}

8.
8/15
9.
1/3
10.
4/5

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FAQs

What does the “9.4 Use Models to Multiply Fractions” worksheet cover?

This Grade 5 worksheet practices multiplying fractions with area models, writing products in simplest form, and matching a model to its unsimplified equation. It includes nine fill-in-the-blank fraction problems and one multiple-choice model question, followed by applications involving a fraction of a quantity and combined fractional masses.

How can I use this worksheet to teach multiplying fractions with area models?

Begin by having students partition and interpret the area model before discussing how the overlapping region represents the product. Model one item aloud, connect the shaded parts to the multiplication equation, and require students to simplify the resulting fraction. Then use the word problems to prompt students to explain what “of” means and how the model-based multiplication applies to a situation.

What mistakes should I watch for when students complete this fraction multiplication worksheet?

Watch for students who read the area model incorrectly, choose an equation that does not match the two fractional dimensions, or record a product without reducing it to simplest form. In the word problems, students may overlook that “of” signals multiplication or fail to add the two masses in the combined-mass problem after finding the fractional amount.

How do I assign and grade this fraction models worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the nine fill-in-the-blank items and one multiple-choice item. For printable submissions, scan student work with the Wayground for Teachers app to help grade responses. The printable format also gives schools an option for practicing fraction multiplication with less screen use.

How can I differentiate this area-model fraction worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the area-model prompts, fraction notation, and word problems are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those file-level changes support access to the same fraction multiplication tasks.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more worksheets at https://wayground.com/en-us/worksheets.

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