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Fraction of the remainder — the bar model that unlocks it

Multi-level word problems

A bar-model method for fraction-of-the-remainder problems, where the second fraction acts on what is left, not the whole.

Challenge level
Stretch
01
Have a go first

The Question

Ben spends 2/5 of his savings on a game, then 1/3 of what is left on a book. He has £48 left. How much did he save?

02
Then check together

The Answer

Reveal the Answer
£120

Draw 5 units. Game takes 2, leaving 3. The book takes 1 of those 3, leaving 2 units = £48, so 1 unit = £24 and 5 units = £120. The whole difficulty is that the second fraction acts on the remainder, not the original.

Now watch the solution

Fraction of the remainder — the bar model that unlocks it
Singapore Maths Academy
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