England · Year 3 · Ages 7–8 · Worked examples

Year 3 Fractions of Amounts and Shapes: Worked Examples

See free Year 3 fractions of amounts and shapes worked examples with clear strategies and answers, aligned to the England primary curriculum.

Model the thinking

Four worked examples

Try each question first, then compare the strategy and answer. The aim is to understand the method, not just copy the final result.

1
Fraction of amount

1/3 of 18 = __.

How to think about it: Identify the whole first, then use the denominator to decide how many equal parts are needed. The numerator tells you how many of those parts to use.

Show answer

Answer: 6

2
Fraction of amount

3/4 of 20 = __.

How to think about it: Identify the whole first, then use the denominator to decide how many equal parts are needed. The numerator tells you how many of those parts to use.

Show answer

Answer: 15

3
Equivalent

Complete: 1/2 = __/6.

How to think about it: Identify the whole first, then use the denominator to decide how many equal parts are needed. The numerator tells you how many of those parts to use.

Show answer

Answer: 3/6

4
Compare

Which is greater: 2/5 or 4/5?

How to think about it: Identify the whole first, then use the denominator to decide how many equal parts are needed. The numerator tells you how many of those parts to use.

Show answer

Answer: 4/5

Next step

Turn the explanation into practice

Use the printable for independent work, or return to the topic overview to choose another way to practise.

Help