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Multiplying and Dividing Positive and Negative Fractions Quiz - Printable Math Worksheets 8th Grade - Wayground

Multiplying and Dividing Positive and Negative Fractions Quiz

Rosemary Iannazzi

Created by Rosemary Iannazzi

14 questions

8th Grade

Math

Updated Oct 2026

Multiplying and Dividing Positive and Negative Fractions Quiz is a Grade 8 mathematics worksheet with 14 multiple-choice questions. Students find products and quotients involving positive and negative fractions, apply sign rules, simplify results, identify multiplicative inverses, and select the next step in solving equations involving fractions. The question set includes both direct computation and procedural decision-making, helping teachers check whether students understand why a result is positive or negative and how division connects to multiplication by a reciprocal. Use this free printable worksheet to reinforce fraction operations after direct instruction, provide independent practice, or assess readiness for fraction-based equations. Its multiple-choice format lets students demonstrate accuracy while answer choices can help teachers identify errors such as keeping the wrong sign, using the reciprocal incorrectly, or choosing an inappropriate algebraic operation. The worksheet includes a complete answer key for efficient checking and feedback.

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Multiplying and Dividing Positive and Negative Fractions Quiz

Total questions: 14

Name
Class
Date
1.

What is the result of multiplying -1/2 and 3/4?

a)

1/8

b)

-3/8

c)

2/3

d)

-5/8

2.

If you divide 5/6 by -2/3, what is the result?

a)

-5/4

b)

7/8

c)

2/3

d)

3/10

3.

When you multiply 2/5 by -3/4, what is the product?

a)

6/20

b)

-3/10

c)

-6/20

d)

3/10

4.

What is the quotient when -4/7 is divided by 2/3?

a)

-2/3

b)

1/2

c)

-6/7

d)

5/7

5.

If you multiply -1/3 by -4/5, what is the answer?

a)

-2/5

b)

-7/15

c)

1/12

d)

2/15

6.

When 3/8 is divided by -1/4, what is the result?

a)

1/4

b)

5/8

c)

-3/2

d)

3/2

7.

What is the product of -2/3 and -5/8?

a)

5/12

b)

-1/4

c)

3/10

d)

-7/24

8.

If you divide 7/9 by -1/2, what is the quotient?

a)

7/9 ÷ -1/2 = 14/9

b)

7/9 ÷ -1/2 = -7/18

c)

-7/9 ÷ -1/2 = 7/9 * -2/-1 = -14/9

d)

7/9 ÷ -1/2 = -7/9

9.

When you multiply -3/4 by 2/5, what is the product?

a)

-3/10

b)

5/6

c)

-1/2

d)

1/20

10.

What is the result of dividing 4/5 by -2/3?

a)

5/6

b)

-6/5

c)

2/3

d)

-7/8

11.

What is the multiplicative inverse of 512\frac{5}{12} ?

a)

−125-\frac{12}{5}  

b)

−512-\frac{5}{12}  

c)

125\frac{12}{5}  

d)

2410\frac{24}{10}  

12.

What is the multiplicative inverse of −109-\frac{10}{9} ?  

a)

910\frac{9}{10}  

b)

−910-\frac{9}{10}  

c)

−9100-\frac{9}{100}  

d)

9100\frac{9}{100}  

13.

What is the next step in solving this equation?

−78k=−21-\frac{7}{8}k=-21

a)

Multiply both sides by  −87-\frac{8}{7}  

b)

Multiply both sides by  87\frac{8}{7}  

c)

Divide both sides by 21

d)

Multiply both sides by -21

14.

What is the next step in solving this equation?

−78k=−21-\frac{7}{8}k=-21

a)

Multiply both sides by  −87-\frac{8}{7}  

b)

Multiply both sides by  87\frac{8}{7}  

c)

Divide both sides by 21

d)

Multiply both sides by -21

WaygroundAnswer Key

Multiplying and Dividing Positive and Negative Fractions Quiz

Total questions: 14

1.
b)

-3/8

2.
a)

-5/4

3.
b)

-3/10

4.
c)

-6/7

5.
d)

2/15

6.
c)

-3/2

7.
a)

5/12

8.
c)

-7/9 ÷ -1/2 = 7/9 * -2/-1 = -14/9

9.
a)

-3/10

10.
b)

-6/5

11.
c)

125\frac{12}{5}  

12.
b)

−910-\frac{9}{10}  

13.
a)

Multiply both sides by  −87-\frac{8}{7}  

14.
a)

Multiply both sides by  −87-\frac{8}{7}  

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FAQs

What does this multiplying and dividing positive and negative fractions worksheet cover?

This Grade 8 worksheet uses 14 multiple-choice questions to practise multiplying and dividing signed fractions, including finding products and quotients, applying positive-and-negative sign rules, and using reciprocals for division. It also includes questions on multiplicative inverses and choosing the next algebraic step, so students practise both computation and procedural reasoning.

How can I use this worksheet to teach multiplying and dividing signed fractions?

First model one multiplication and one division example, emphasizing that division by a fraction means multiplying by its reciprocal and that the signs determine whether the result is positive or negative. Then have students complete the multiple-choice items independently or in pairs, asking them to explain why an answer choice has the correct sign and value. Use the multiplicative-inverse and next-step equation items as a bridge from fraction operations to solving equations.

What mistakes should I watch for on this signed-fractions quiz?

Watch for students treating division like multiplication without inverting the divisor, or selecting an answer with the correct magnitude but the wrong sign. Students may also fail to recognize that two negative factors produce a positive product, misidentify a reciprocal, or choose an algebraic operation that does not undo the coefficient in the equation. The multiple-choice distractors make these errors visible for targeted review.

How do I assign and grade this multiplying and dividing fractions worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. Assign the digital version for online responses, or print it for written practice; printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this signed-fractions multiple-choice worksheet?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the fraction expressions and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the signed-fraction problems and equation items.

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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