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Grade 7 Math · Operations with Fractions and Integers

Grade 7 Operations with Fractions and Integers Practice Test

Build Grade 7 Math skills with five 10-question practice tests on integer operations, fraction addition, subtraction, multiplication, division, mixed numbers, equations, order of operations, and applications.

Operations with Fractions and Integers Practice Tests

These Grade 7 Math practice tests help students add, subtract, multiply, and divide integers, fractions, and mixed numbers. Students also apply order of operations, solve equations, simplify results, and use rational number operations in distance, time, recipes, money, and measurement problems.

Skills covered

  • Adding and subtracting positive and negative integers
  • Multiplying and dividing integers and applying positive and negative sign rules
  • Adding and subtracting fractions with common and unlike denominators
  • Multiplying and dividing fractions, mixed numbers, and zero
  • Applying order of operations with integers and fractions
  • Solving one-step equations and modeling real-world situations with rational operations

How to use these practice tests

For integer operations, track the signs before calculating. For fraction addition and subtraction, use a common denominator. For fraction division, multiply by the reciprocal. Follow the order of operations, simplify the final result, and use estimation or substitution to check whether the answer is reasonable.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Operations with Fractions and Integers Practice Tests

A 10-question Grade 7 Math practice test on integer operations, fraction addition, subtraction, multiplication, division, mixed numbers, order of operations, equations, and applications.

Apply sign rules, common denominators, reciprocal multiplication, order of operations, simplification, and estimation to solve each problem.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 23⋅58\frac{2}{3}\cdot\frac{5}{8}?

Please select an answer first.

Correct answer: A

The correct answer is 512\frac{5}{12}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Multiply and simplify: 2⋅53⋅8=1024=512\frac{2\cdot5}{3\cdot8}=\frac{10}{24}=\frac{5}{12}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Multiply and simplify: 2⋅53⋅8=1024=512\frac{2\cdot5}{3\cdot8}=\frac{10}{24}=\frac{5}{12}.

2. QuestionMultiple choice

What is −49⋅38-\frac{4}{9}\cdot\frac{3}{8}?

Please select an answer first.

Correct answer: B

The correct answer is −16-\frac{1}{6}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: There is one negative factor, and 1272=16\frac{12}{72}=\frac{1}{6}, so the product is −16-\frac{1}{6}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

There is one negative factor, and 1272=16\frac{12}{72}=\frac{1}{6}, so the product is −16-\frac{1}{6}.

3. QuestionMultiple choice

What is 56÷109\frac{5}{6}\div\frac{10}{9}?

Please select an answer first.

Correct answer: C

The correct answer is 34\frac{3}{4}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Multiply by the reciprocal: 56⋅910=4560=34\frac{5}{6}\cdot\frac{9}{10}=\frac{45}{60}=\frac{3}{4}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Multiply by the reciprocal: 56⋅910=4560=34\frac{5}{6}\cdot\frac{9}{10}=\frac{45}{60}=\frac{3}{4}.

4. QuestionMultiple choice

What is −710÷1415-\frac{7}{10}\div\frac{14}{15}?

Please select an answer first.

Correct answer: D

The correct answer is −34-\frac{3}{4}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Multiply by the reciprocal: −710⋅1514=−105140=−34-\frac{7}{10}\cdot\frac{15}{14}=-\frac{105}{140}=-\frac{3}{4}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Multiply by the reciprocal: −710⋅1514=−105140=−34-\frac{7}{10}\cdot\frac{15}{14}=-\frac{105}{140}=-\frac{3}{4}.

5. QuestionMultiple choice

What is 114⋅451\frac{1}{4}\cdot\frac{4}{5}?

Please select an answer first.

Correct answer: A

The correct answer is 11.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Convert 114=541\frac{1}{4}=\frac{5}{4}, then 54⋅45=1\frac{5}{4}\cdot\frac{4}{5}=1.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Convert 114=541\frac{1}{4}=\frac{5}{4}, then 54⋅45=1\frac{5}{4}\cdot\frac{4}{5}=1.

6. QuestionMultiple choice

What is 212÷562\frac{1}{2}\div\frac{5}{6}?

Please select an answer first.

Correct answer: B

The correct answer is 33.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Convert 212=522\frac{1}{2}=\frac{5}{2} and multiply by the reciprocal: 52⋅65=3\frac{5}{2}\cdot\frac{6}{5}=3.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Convert 212=522\frac{1}{2}=\frac{5}{2} and multiply by the reciprocal: 52⋅65=3\frac{5}{2}\cdot\frac{6}{5}=3.

7. QuestionMultiple choice

What is the reciprocal of −911-\frac{9}{11}?

Please select an answer first.

Correct answer: C

The correct answer is −119-\frac{11}{9}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Switch numerator and denominator and keep the negative sign: the reciprocal is −119-\frac{11}{9}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Switch numerator and denominator and keep the negative sign: the reciprocal is −119-\frac{11}{9}.

8. QuestionMultiple choice

What is 37⋅0\frac{3}{7}\cdot0?

Please select an answer first.

Correct answer: D

The correct answer is 00.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Any number multiplied by zero equals zero.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Any number multiplied by zero equals zero.

9. QuestionMultiple choice

Which expression is equivalent to dividing by 25\frac{2}{5}?

Please select an answer first.

Correct answer: A

The correct answer is ⋅52\cdot\frac{5}{2}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Dividing by a nonzero fraction is equivalent to multiplying by its reciprocal.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Dividing by a nonzero fraction is equivalent to multiplying by its reciprocal.

10. QuestionMultiple choice

What is 89÷(−43)\frac{8}{9}\div(-\frac{4}{3})?

Please select an answer first.

Correct answer: B

The correct answer is −23-\frac{2}{3}.

  1. Identify the operation: Determine whether the problem requires integer signs, a common denominator, a reciprocal, multiplication, division, or order of operations.
  2. Calculate carefully: Multiply by the reciprocal: 89⋅(−34)=−2436=−23\frac{8}{9}\cdot(-\frac{3}{4})=-\frac{24}{36}=-\frac{2}{3}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Multiply by the reciprocal: 89⋅(−34)=−2436=−23\frac{8}{9}\cdot(-\frac{3}{4})=-\frac{24}{36}=-\frac{2}{3}.

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Frequently asked questions about Grade 7 Operations with Fractions and Integers

What topics are covered?

The page covers integer addition, subtraction, multiplication, division, exponents, fraction addition, subtraction, multiplication, division, mixed numbers, order of operations, equations, and applications.

How should students avoid errors?

Track signs, use common denominators for addition and subtraction, multiply by reciprocals when dividing fractions, follow operation order, simplify, and check with estimation or substitution.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Operations with Fractions and Integers questions in total.