England · Year 6 · Ages 10–11 · Worked examples

Year 6 Fractions, Decimals and Percentages: Worked Examples

See free Year 6 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
Add fractions

5/6 + 3/4 = __.

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: 19/12 = 1 7/12

2
Divide fractions

3/5 ÷ 2 = __.

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: 3/10

3
Decimal fraction

0.375 as a fraction in simplest form.

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: 3/8

4
Percentage

35% of 240 = __.

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: 84

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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