There are many methods to find **fractions of amounts**, including:

- multiplying fractions
- a unitary method

Find of 40.

Multiply by 40.

(40 can be written as )

= 16

A **unitary method** simply means finding out what 1 of something is worth first.

Work out of 16.

First work out of 16, by dividing 16 by 4.

of 16 is 4.

Then multiply the answer by 3 to work out .

of 16 is .

of 16 is the same as which is 4.

If of 16 = 4, then of 16 must be three times this amount, so of 16 = 12 ( ).

- Question
Which is larger, of 24 or of 20?

**Multiplying fractions method**Find of 24 by multiplying by 24:

So: of 24 = 16

Find of 20 by multiplying by 20:

So: of 20 = 15

Compare the answers - 16 is the bigger number, so of 24 is larger than of 20.

This answer can also be written using an inequality sign:

of 24 > of 20

**Unitary method**Work out of 24 by first finding of 24 and then multiplying the answer by 2.

of 24 = 8 ( ).

, so of 24 = 16.

Work out of 20 by first finding of 20, then multiplying the answer by 3.

of 20 = 5 ( ).

, so of 20 = 15.

Compare the answers - 16 is the bigger number, so of 24 is larger than of 20.

This answer can also be written with an inequality sign:

of 24 > of 20