Stage 8 · Fractions & decimals
Fractions of an amount
Divide by the bottom, times the top.
How to do it
Method
Divide by the bottom, times the top
34 of 24: 24 ÷ 4 = 6, 6 × 3 = 18
Another way
Fraction multiplication
24 × 34 = 724 = 18
In full
34 of 24: the denominator says how many equal parts, the numerator how many of them to take. Divide by the denominator for one part: 24 ÷ 4 = 6, then multiply by the numerator: 6 × 3 = 18. You can also write it as fraction multiplication: 24 × 34 = 724 = 18 (or cancel first) — the same answer; dividing first keeps the numbers small, so it's quicker in your head.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
14 of 8
Show the answer and working
Answer: 14 of 8 = 2
14 of 8: divide by the denominator for one part, 8 ÷ 4 = 2, then multiply by the numerator, 2 × 1 = 2
Example 2
56 of 24
Show the answer and working
Answer: 56 of 24 = 20
56 of 24: divide by the denominator for one part, 24 ÷ 6 = 4, then multiply by the numerator, 4 × 5 = 20
Example 3
111 of 99
Show the answer and working
Answer: 111 of 99 = 9
111 of 99: divide by the denominator for one part, 99 ÷ 11 = 9, then multiply by the numerator, 9 × 1 = 9
Example 4
512 of 144
Show the answer and working
Answer: 512 of 144 = 60
512 of 144: divide by the denominator for one part, 144 ÷ 12 = 12, then multiply by the numerator, 12 × 5 = 60
Practise fractions of an amount in the game →Stage 8 · Fractions & decimals · Free to start, unlimited questions, no download