# Fractions of amounts

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

• multiplying fractions
• a unitary method

## Multiplying fractions

### Example

Find of 40.

Multiply by 40.  (40 can be written as ) = 16

## Unitary method

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

### Example

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 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

Move on to Test