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Fractions, Decimals and Percentages

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Fractions

If you get 7 out of 10 in a test, you can write your score as 7/10.

7 expressed as a fraction of 10 is 7/10.

Similarly, if there are 20 socks in a drawer and 4 of them are blue, 4/20 of the socks are blue.

So, 4 expressed as a fraction of 20 is 4/20. We can put this into its simplest form by dividing the top and bottom numbers by 4. So we get 1/5.

Question
3 squares and 10 squares

a) What fraction of the large shape is the small one?
b) What fraction of the small shape is the large one?

Answer

a) The small shape is 3/10 of the large shape.
b) The large shape is 10/3 or 3 1/3 of the small shape.

If you are expressing a number as a fraction of a second, the first number goes on the top and the second number on the bottom.

Question

What fraction of 1 metre is 42cm? Give your answer in its simplest form.

Answer

42cm as a fraction of 100cm is 42/100 = 21/50

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