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Fractions practice questions with answers

Foundation and Higher · Grade 3 · Non-calculator

A second set of fractions questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

Work out 2/3 × 3/4.

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Answer: 1/2

  1. Multiply the numerators.
  2. Multiply the denominators, then simplify.
  • Method (1): Multiply the numerators.
  • Accuracy (1): Answer 1/2

Question 2 Easy

Work out 3/4 ÷ 1/3.

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Answer: 9/4

  1. Dividing by a fraction uses the reciprocal.
  2. Multiply 3/4 by 3/1.
  • Method (1): Dividing by a fraction uses the reciprocal.
  • Accuracy (1): Answer 9/4

Question 3 Medium

There are 24 students. 3/8 of them walk. How many walk?

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Answer: 9

  1. Find 1/8 of 24.
  2. Then multiply by 3.
  • Method (1): Find 1/8 of 24.
  • Accuracy (1): Answer 9

Question 4 Medium

A recipe uses 1/2 of a 1/2 kg bag of flour. How many kilograms is that?

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Answer: 1/4

  1. Half of 1/2 kg.
  2. Multiply the numerators and the denominators.
  • Method (1): Half of 1/2 kg.
  • Accuracy (1): Answer 1/4

Question 5 Hard

Find 2/3 of 3/5.

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Answer: 2/5

  1. Of means multiply.
  2. 2/3 × 3/5.
  • Method (1): Of means multiply.
  • Accuracy (1): Answer 2/5

Question 6 Hard

A bar is shared equally between 2 people. Each person eats 1/2 of their piece. What fraction of the bar does one person eat?

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Answer: 1/4

  1. One piece is 1/2 of the bar.
  2. Half of that piece is 1/4.
  • Method (1): One piece is 1/2 of the bar.
  • Accuracy (1): Answer 1/4

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A rope is 54 m. 2/9 of it is cut off. How many metres are left?

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Answer: 42

  1. 7/9 of the rope is left.
  2. 54 × 7 ÷ 9.
  • Method (1): 7/9 of the rope is left.
  • Accuracy (1): Answer 42

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

Work out 3/4 + 1/8. Give the fraction in its lowest terms.

  1. 7/8
  2. 9/8
  3. 17/8
Show answer

7/8 The result is 7/8.

Check 2

Work out 3/8 × 4/5. Give the fraction in its lowest terms.

  1. 3/10
  2. 5/10
  3. 13/10
Show answer

3/10 The result is 3/10.

Check 3

Work out 3/5 ÷ 9/10. Give the fraction in its lowest terms.

  1. 2/3
  2. 4/3
  3. 12/3
Show answer

2/3 The result is 2/3.

Check 4

Work out 7/8 − 1/4. Give the fraction in its lowest terms.

  1. 5/8
  2. 7/8
  3. 15/8
Show answer

5/8 The result is 5/8.

Check 5

Write 1 5/6 as an improper fraction.

  1. 11/6
  2. 6/6
  3. 5/6
Show answer

11/6 The result is 11/6.

Check 6

Work out 2/3 + 1/4. Give the fraction in its lowest terms.

  1. 11/12
  2. 13/12
  3. 21/12
Show answer

11/12 The result is 11/12.

Check 7

Work out 2/5 × 5/6. Give the fraction in its lowest terms.

  1. 1/3
  2. 3/3
  3. 11/3
Show answer

1/3 The result is 1/3.

Check 8

Work out 7/8 ÷ 7/16. Give the fraction in its lowest terms.

  1. 2
  2. 4
  3. 12
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2 The result is 2.

Check 9

Work out 3/5 − 1/3. Give the fraction in its lowest terms.

  1. 4/15
  2. 6/15
  3. 14/15
Show answer

4/15 The result is 4/15.

Check 10

Write 4 1/2 as an improper fraction.

  1. 9/2
  2. 5/2
  3. 4/2
Show answer

9/2 The result is 9/2.

Check 11

Work out 1/5 + 1/2. Give the fraction in its lowest terms.

  1. 7/10
  2. 9/10
  3. 17/10
Show answer

7/10 The result is 7/10.

Check 12

Work out 7/9 × 3/14. Give the fraction in its lowest terms.

  1. 1/6
  2. 3/6
  3. 11/6
Show answer

1/6 The result is 1/6.

Check 13

Work out 1/3 ÷ 2/9. Give the fraction in its lowest terms.

  1. 3/2
  2. 5/2
  3. 13/2
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3/2 The result is 3/2.

Check 14

Work out 5/8 − 1/4. Give the fraction in its lowest terms.

  1. 3/8
  2. 5/8
  3. 13/8
Show answer

3/8 The result is 3/8.

Check 15

Write 2 4/5 as an improper fraction.

  1. 14/5
  2. 6/5
  3. 8/5
Show answer

14/5 The result is 14/5.

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