Simplifying percentages into fractions

Some percentages can be converted easily into fractions and worked out more quickly that way. For example:

\(50\% = \frac{{50}}{{100}} = \frac{1}{2}\)

\(25\%=\frac{25}{100}=\frac{1}{4}\)

\(75\%=\frac{75}{100}=\frac{3}{4}\)

\(20\%=\frac{1}{5}\)

Now try the example questions below.

Question

Find \(50\%\) of \(\pounds400\).

\(20\%\) of the \(225\) pupils in S4 at a particular school catch the school bus home.

How many pupils catch the school bus?