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Maths

Fraction basics

Cancelling fractions

Sometimes you can divide the top and bottom of a fraction by the same number. This is called cancelling down. It is also called simplifying the fraction. You often have to write a fraction in its simplest terms. This means that you have to cancel it down until it cannot be canceled down any more

Question

Write this fraction in its simplest form:12 over 16

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Answer

Dividing by 4: 12 over 16 = 3 over 4

You could do this in two stages.

Dividing top and bottom by 2, to get 6/8.

Then dividing the top and bottom by 2 again, to get 3/4.

12 over 16 =  6 over 8 = 3 over 4

When you have worked out a fraction question, you should always cancel down the answer.

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