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P6 Dividing fractions

12 L measured in 1/2 L cups

There are 12 L of juice. Each cup holds L. How many full cups can be filled?

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24 cups

One step of the worked solution to 12 L measured in 1/2 L cups, drawn in pencil.
6 steps, drawn in pencil

The pattern behind it: Dividing fractions

Share a fraction equally, or count how many small portions fit.

In this one. Count how many cup-sized portions fit. Dividing by a fraction smaller than one can give a larger number.

Share 3/4 equally among 3juice3/4 litreeach1/4 litre per bottle

How to spot it

A total amount split into fraction-sized cups or pieces, asking how many fit, points here. A single fraction shared equally among several parts does too.

Common mistake

Children expect dividing to make the answer smaller, so a bigger result than the starting amount looks wrong to them and they flip the calculation.

Try one like it

Standard 1/2 L shared among 4 bottles Share 1/2 L of juice equally among 4 bottles. How much juice goes in each bottle?
All 4 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.