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Fractions of an Amount


Example 1: Find 1⁄4 of 12.

12

To find one quarter we need to split our amount into 4 equal parts.

12 ÷ 4 = 3

3

3

3

3

Each part is worth 3, so 1⁄4 of 12 = 3


Example 2: Find 1⁄5 of 30.

30

To find one fifth we need to split our amount into 5 equal parts.

30 ÷ 5 = 6

6

6

6

6

6

Each part is worth 6, so 1⁄5 of 30 = 6


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Example 3: Find 3⁄4 of 28.

28

We start by splitting 28 into 4 equal parts.

28 ÷ 4 = 7

7

7

7

7

Each quarter is worth 7. We want 3⁄4

7

7

7

7

We need to calculate 3 × 7.
3 × 7 = 21
3⁄4 of 28 = 21


Example 4: Find 2⁄5 of 40.

40

We start by splitting 40 into 5 equal parts.

40 ÷ 5 = 8

8

8

8

8

8

Each fifth is worth 8. We want 2⁄5

8

8

8

8

8

We need to calculate 2 × 8.
2 × 8 = 16
2⁄5 of 40 = 16


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Lesson

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When you find a fraction of an amount, the amount is the whole number, price, or group you start with. The denominator tells you how many equal parts to split the whole into, and the numerator tells you how many parts to take.

The main method is divide first, then multiply. For ab\frac{a}{b}ba​ of an amount, divide by bbb first, and only multiply by aaa afterwards.

If the fraction is a unit fraction such as 16\frac{1}{6}61​, the numerator is 1, so you only need the division step. As a quick check, the answer to a proper fraction of an amount should be smaller than the starting amount.

Questions

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88 exam-style questions

Practice questions

Question 1

1 mark

Find 16\displaystyle \frac{1}{6}61​ of 420

Flashcards

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26 flashcards

Practice flashcards

In 35\frac{3}{5}53​ of 100, what is the amount?

Fractions of an Amount Revision Guide

  1. GCSE
  2. /Maths
  3. /Fractions of an Amount

Revision notes for WJEC GCSE Maths Fractions of an Amount. Open the guide for explanations and worked examples. Written against the WJEC GCSE Maths (3320QD) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 2

Find 17\frac{1}{7}71​ of 63.

Practise questions

1 of 3

Find 13\frac{1}{3}31​ of 72.

Practise questions

1 of 3

Work out 35\frac{3}{5}53​ of 45.

Practise questions

1 of 3

Calculate 14\frac{1}{4}41​ of 84.