# Ratios Math Review

math tutorials > ratios tutorial

## What is a ratio?

A **ratio** is a method of comparing 2 or more quantities
that are measured in the same units.

A ratio is usually written with the quantities separated by a colon e.g. 4 : 5, but the 2 quantities can also be compared by writing them as a fraction.

## Simpifying Ratios

Ratios are simplified similarly to fractions.

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## Note:

- Ratios are normally written as whole numbers. Where possible they should not include decimals, fractions or percentages.
- Ratios do not have units. Quantities with units must first be converted to the same unit, then simplified as a ratio.

e.g. 5cm : 20mm = 50mm : 20mm = 5 : 2

## Ratio problems for you to try.

A. Simplify:

1) 15 : 3 2) 6min : 1hr 3) 15 : 20

B. Find x:

1) 12 : x = 6 : 2 2) x : 3 = 15 : 9

*Solutions: *

A. 1) 5 : 1 2) 1 : 10 3) 3 : 4

B. 1) x = 4 2) x = 5