# Map scales

Map scales can be written in ratios and tell you how many units of length on land, or sea, are equal to one unit of length on a map.

For example, if you are travelling from Manchester to Newcastle and need to know how far it is, it would be very difficult to work this out from a map if the map does not have a scale.

### Example

The scale of a map is .

Dinesh measures the distance from his home to the local swimming pool on the map.

The distance is measured as on the map.

How many , and is this equivalent to in real life?

on the map represents . Therefore, on the map represents .

To convert from to , divide by .

To convert from to divide by .

Question

The scale of a map is . What distance on the map will represent ?

First convert to :

We want to know what distance on the map represents in real life.

The map scale is , so we divide by :

Therefore, is equivalent to on the map.