# 9.3 Changing a fraction to a decimal

Again there are two ways to do this, both based on the two methods just shown for changing a fraction to a percentage.

## Method 1

### Example: Change the fraction into a percentage and divide by 100

× = which cancels to = 25%

Now convert to a decimal by dividing by 100:

25 ÷ 100 = 0.25

## Method 2

### Example: Divide the top of the fraction by the bottom

= 1 ÷ 4 = 0.25.

## Activity 23: Changing a fraction to a decimal

Express these fractions as decimals:

### Answer

0.4

0.125

0.3

Fractions and percentages deal with splitting numbers into a given number of equal portions, or parts. When dealing with the next topic, ratio, you will still be splitting quantities into a given number of parts, but when sharing in a ratio, you do not share evenly. This might sound a little complicated but you’ll have been doing it since you were a child.

## Summary

In this section you have:

learned about the relationship between fractions, decimals and percentages and are now able to convert between the three.