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Multiplication and Division of Rational Numbers - Printable Mathematics Worksheets - Wayground

Multiplication and Division of Rational Numbers

10 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students focused practice multiplying and dividing rational numbers in both fraction and decimal forms. Across 10 multiple-choice questions, students calculate products such as 3/4 × 2/5 and 0.6 × 0.25, then determine quotients such as 7/8 ÷ 1/4 and 0.9 ÷ 0.3. The answer choices help teachers see whether students can select the correct result for each operation. Use this worksheet to reinforce computational fluency, check understanding after instruction, or provide independent practice with rational-number operations. The mix of fractions and decimals helps students apply appropriate procedures across representations, including multiplying fractional factors and dividing by fractional or decimal divisors. It is a free printable worksheet with a complete answer key, making it useful for Grade 7 classwork, homework, review, or quick formative assessment.

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Worksheets

Multiplication and Division of Rational Numbers

Total questions: 10

Name
Class
Date
1.

Simplify the product of 3/4 and 2/5.

a)

3/8

b)

5/9

c)

6/20

d)

1/10

2.

What is the result of dividing 7/8 by 1/4?

a)

3.5

b)

1.75

c)

7/2

d)

2.5

3.

Multiply 0.6 by 0.25.

a)

0.35

b)

0.10

c)

0.50

d)

0.15

4.

Divide 0.9 by 0.3.

a)

0.3

b)

0.6

c)

1.5

d)

3

5.

Find the product of 2/3 and 4/5.

a)

2/7

b)

6/8

c)

10/12

d)

8/15

6.

Simplify the division of 5/6 by 2/3.

a)

7/9

b)

15/12

c)

10/12

d)

3/4

7.

Multiply 0.4 by 0.75.

a)

0.15

b)

0.3

c)

0.6

d)

0.45

8.

Divide 0.7 by 0.2.

a)

3.5

b)

7

c)

1.75

d)

0.35

9.

Calculate the product of 1/2 and 3/4.

a)

3/8

b)

7/16

c)

1/6

d)

5/8

10.

What is the result of dividing 2/3 by 1/5?

a)

10/3

b)

2/15

c)

3/10

d)

5/6

Answer Key

Multiplication and Division of Rational Numbers

Total questions: 10

1.
c)

6/20

2.
c)

7/2

3.
d)

0.15

4.
d)

3

5.
d)

8/15

6.
b)

15/12

7.
b)

0.3

8.
a)

3.5

9.
a)

3/8

10.
a)

10/3

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FAQs

What does this multiplication and division of rational numbers worksheet cover?

This Grade 7 worksheet covers multiplying and dividing rational numbers represented as fractions and decimals. Its 10 multiple-choice questions require students to calculate products and quotients, such as 2/3 × 4/5, 5/6 ÷ 2/3, 0.4 × 0.75, and 0.7 ÷ 0.2, then identify the matching result.

How can I use this worksheet to teach multiplication and division of rational numbers?

Model one fraction product, one fraction quotient, one decimal product, and one decimal quotient before students complete the worksheet. Ask students to explain why fraction division uses the divisor's reciprocal and how they place the decimal in items such as 0.6 × 0.25 and 0.9 ÷ 0.3; then use the multiple-choice options to discuss why other results do not fit.

What mistakes should I watch for when students complete this rational numbers worksheet?

Watch for students multiplying when an item asks for division, using the reciprocal incorrectly in fraction quotients, or choosing a distractor because they fail to track numerator and denominator factors. In the decimal questions, check for misplaced decimal points; in the fraction items, have students verify choices such as 6/20, 8/15, and 3/8 against their multiplication work.

How do I assign and grade this multiplication and division worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can assign the 10 multiple-choice items in the format that suits your class. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this rational numbers worksheet for my students?

For the fraction and decimal multiple-choice items, open the worksheet's Advanced Settings to adjust font spacing or choose a larger font size for more visual room around each expression and answer choice. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the calculations.

Where can I find more worksheets like this on Wayground?

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

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