If you get \({7}\) out of \({10}\) in a test, you can write your score as \(\frac{7}{10}\).

\({7}\) expressed as a fraction of \({10}\) is \(\frac{7}{10}\).

Similarly, if there are \({20}\) socks in a drawer and \({4}\) of them are blue, \(\frac{4}{20}\) of the socks are blue.

\({4}\) expressed as a fraction of \({20}\) is \(\frac{4}{20}\). We can put this into its **simplest form** by dividing the top and bottom numbers by \({4}\), so we get \(\frac{1}{5}\).

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

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

a) The small shape is \(\frac{3}{10}\) of the large shape.

b) The large shape is \(\frac{10}{3}\) or \({3}\frac{1}{3}\) of the small shape.

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

- Question
What fraction of \({1}\) metre is \({42}~cm\)? Give your answer in its simplest form.

\({42}~cm\) as a fraction of \({100}~cm\) is:

\[\frac{42}{100}=\frac{21}{50}\]