Work out (1)/(2) of 18.

Divide by the denominator: 18 ÷ 2 = 9 Read off one part: (1)/(2) of 18 = 9 State the answer: 9 Answer: 9

Work out (1)/(3) of 21.

Divide by the denominator: 21 ÷ 3 = 7 Read off one part: (1)/(3) of 21 = 7 State the answer: 7 Answer: 7

Work out (1)/(4) of 20.

Divide by the denominator: 20 ÷ 4 = 5 Read off one part: (1)/(4) of 20 = 5 State the answer: 5 Answer: 5

Work out (1)/(5) of 45.

Divide by the denominator: 45 ÷ 5 = 9 Read off one part: (1)/(5) of 45 = 9 State the answer: 9 Answer: 9

Work out (1)/(10) of 90.

Divide by the denominator: 90 ÷ 10 = 9 Read off one part: (1)/(10) of 90 = 9 State the answer: 9 Answer: 9

Fractions of amounts Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE Fractions of amounts questions. See exactly how to solve problems on unit fraction of an amount, dividing, non-unit fraction of an amount, divide then multiply.

unit fraction of an amountdividingnon-unit fraction of an amountdivide then multiplyfraction of moneyunit fraction

GCSE Foundation70 questionsStep-by-step solutions

Question 1

1 markeasy

Work out

\frac{1}{2}

18

Worked solution

Divide by the denominator
$18 \div 2 = 9$
To find a half of an amount you split it into $2$ equal parts, and dividing by $2$ does exactly that. Remember from the division topic that dividing shares a number into equal groups.
Read off one part
$\frac{1}{2}\text{ of }18 = 9$
One half is a single one of those $2$ equal parts, so the division already gives the answer.
State the answer
$9$
So a half of $18$ is $9$ .

Answer

9

Question 2

1 markeasy

Work out

\frac{1}{3}

21

Worked solution

Divide by the denominator
$21 \div 3 = 7$
To find a third of an amount you split it into $3$ equal parts, and dividing by $3$ does exactly that. Remember from the division topic that dividing shares a number into equal groups.
Read off one part
$\frac{1}{3}\text{ of }21 = 7$
One third is a single one of those $3$ equal parts, so the division already gives the answer.
State the answer
$7$
So a third of $21$ is $7$ .

Answer

7

Question 3

1 markeasy

Work out

\frac{1}{4}

20

Worked solution

Divide by the denominator
$20 \div 4 = 5$
To find a quarter of an amount you split it into $4$ equal parts, and dividing by $4$ does exactly that. Remember from the division topic that dividing shares a number into equal groups.
Read off one part
$\frac{1}{4}\text{ of }20 = 5$
One quarter is a single one of those $4$ equal parts, so the division already gives the answer.
State the answer
$5$
So a quarter of $20$ is $5$ .

Answer

5

Question 4

1 markeasy

Work out

\frac{1}{5}

45

Worked solution

Divide by the denominator
$45 \div 5 = 9$
To find a fifth of an amount you split it into $5$ equal parts, and dividing by $5$ does exactly that. Remember from the division topic that dividing shares a number into equal groups.
Read off one part
$\frac{1}{5}\text{ of }45 = 9$
One fifth is a single one of those $5$ equal parts, so the division already gives the answer.
State the answer
$9$
So a fifth of $45$ is $9$ .

Answer

9

Question 5

1 markeasy

Work out

\frac{1}{10}

90

Worked solution

Divide by the denominator
$90 \div 10 = 9$
To find a tenth of an amount you split it into $10$ equal parts, and dividing by $10$ does exactly that. Remember from the division topic that dividing shares a number into equal groups.
Read off one part
$\frac{1}{10}\text{ of }90 = 9$
One tenth is a single one of those $10$ equal parts, so the division already gives the answer.
State the answer
$9$
So a tenth of $90$ is $9$ .

Answer

9

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