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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 25+15\frac{2}{5}+\frac{1}{5}?

Please select an answer first.

Correct answer: A

The correct answer is 35\frac{3}{5}.

  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: The denominators match, so add numerators: 2+15=35\frac{2+1}{5}=\frac{3}{5}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

The denominators match, so add numerators: 2+15=35\frac{2+1}{5}=\frac{3}{5}.

2. QuestionMultiple choice

What is 34−18\frac{3}{4}-\frac{1}{8}?

Please select an answer first.

Correct answer: B

The correct answer is 58\frac{5}{8}.

  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: Rewrite 34=68\frac{3}{4}=\frac{6}{8}, then 68−18=58\frac{6}{8}-\frac{1}{8}=\frac{5}{8}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Rewrite 34=68\frac{3}{4}=\frac{6}{8}, then 68−18=58\frac{6}{8}-\frac{1}{8}=\frac{5}{8}.

3. QuestionMultiple choice

What is 56+14\frac{5}{6}+\frac{1}{4}?

Please select an answer first.

Correct answer: C

The correct answer is 1312\frac{13}{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: Use denominator 12: 56=1012\frac{5}{6}=\frac{10}{12} and 14=312\frac{1}{4}=\frac{3}{12}, giving 1312\frac{13}{12}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Use denominator 12: 56=1012\frac{5}{6}=\frac{10}{12} and 14=312\frac{1}{4}=\frac{3}{12}, giving 1312\frac{13}{12}.

4. QuestionMultiple choice

What is 710−23\frac{7}{10}-\frac{2}{3}?

Please select an answer first.

Correct answer: D

The correct answer is 130\frac{1}{30}.

  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: Use denominator 30: 710=2130\frac{7}{10}=\frac{21}{30} and 23=2030\frac{2}{3}=\frac{20}{30}, so the result is 130\frac{1}{30}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Use denominator 30: 710=2130\frac{7}{10}=\frac{21}{30} and 23=2030\frac{2}{3}=\frac{20}{30}, so the result is 130\frac{1}{30}.

5. QuestionMultiple choice

What is −38+512-\frac{3}{8}+\frac{5}{12}?

Please select an answer first.

Correct answer: A

The correct answer is 124\frac{1}{24}.

  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: Use denominator 24: −38=−924-\frac{3}{8}=-\frac{9}{24} and 512=1024\frac{5}{12}=\frac{10}{24}, giving 124\frac{1}{24}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Use denominator 24: −38=−924-\frac{3}{8}=-\frac{9}{24} and 512=1024\frac{5}{12}=\frac{10}{24}, giving 124\frac{1}{24}.

6. QuestionMultiple choice

What is 1115−45\frac{11}{15}-\frac{4}{5}?

Please select an answer first.

Correct answer: B

The correct answer is −115-\frac{1}{15}.

  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: Rewrite 45=1215\frac{4}{5}=\frac{12}{15}, then 1115−1215=−115\frac{11}{15}-\frac{12}{15}=-\frac{1}{15}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Rewrite 45=1215\frac{4}{5}=\frac{12}{15}, then 1115−1215=−115\frac{11}{15}-\frac{12}{15}=-\frac{1}{15}.

7. QuestionMultiple choice

What is 23−(−59)\frac{2}{3}-(-\frac{5}{9})?

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: Add the opposite: 23+59=69+59=119\frac{2}{3}+\frac{5}{9}=\frac{6}{9}+\frac{5}{9}=\frac{11}{9}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Add the opposite: 23+59=69+59=119\frac{2}{3}+\frac{5}{9}=\frac{6}{9}+\frac{5}{9}=\frac{11}{9}.

8. QuestionMultiple choice

What is −712−16-\frac{7}{12}-\frac{1}{6}?

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: Rewrite 16=212\frac{1}{6}=\frac{2}{12}, then −712−212=−912=−34-\frac{7}{12}-\frac{2}{12}=-\frac{9}{12}=-\frac{3}{4}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Rewrite 16=212\frac{1}{6}=\frac{2}{12}, then −712−212=−912=−34-\frac{7}{12}-\frac{2}{12}=-\frac{9}{12}=-\frac{3}{4}.

9. QuestionMultiple choice

Why is a common denominator useful when adding fractions?

Please select an answer first.

Correct answer: A

The correct answer is It creates equal-sized parts so the numerators can be combined..

  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: Fractions must refer to the same-sized parts before their numerators can be added or subtracted.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Fractions must refer to the same-sized parts before their numerators can be added or subtracted.

10. QuestionMultiple choice

What is 35+710−12\frac{3}{5}+\frac{7}{10}-\frac{1}{2}?

Please select an answer first.

Correct answer: B

The correct answer is 45\frac{4}{5}.

  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: Use tenths: 610+710−510=810=45\frac{6}{10}+\frac{7}{10}-\frac{5}{10}=\frac{8}{10}=\frac{4}{5}.
  3. Check the result: Confirm the sign, simplify the fraction, and estimate or substitute when possible.

Use tenths: 610+710−510=810=45\frac{6}{10}+\frac{7}{10}-\frac{5}{10}=\frac{8}{10}=\frac{4}{5}.

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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.