England · Year 5 · Ages 9–10 · Worked examples

Year 5 Fractions, Decimals and Percentages: Worked Examples

See free Year 5 fractions, decimals and percentages 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
Equivalent

3/5 = __/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.

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Answer: 12/20

2
Add

3/8 + 1/4 = __.

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: 5/8

3
Mixed number

Convert 7/4 to a mixed number.

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: 1 3/4

4
Decimal

Write 7/10 as a decimal.

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: 0.7

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.

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