# What is a ratio?

## Ratios

**A ratio shows how much of one thing there is compared to another. Ratios are usually written in the form a:b.**

If you are making orange squash and you mix one part orange to four parts water, then the ratio of orange to water will be 1:4 (1 to 4).

The order in which a ratio is stated is important. Changing the order of the numbers in a ratio changes the proportions.

## Simplifying Ratios

The ratio of red to blue dinosaurs is **12:18**.

This ratio can be simplified. Both 12 and 18 can be divided by 2.

## 12 ÷ 2 = 6

## 18 ÷ 2 = 9

So a simpler way to write 12:18 is **6:9**.

The ratio can be simpler again, if we divide by 3.

## 6 ÷ 3 = 2

## 9 ÷ 3 = 3

So an even simpler way to write 12:18 is **2:3**.