Ratio and sharing in a ratio

Use two-colour bars to see what 2 : 3 means, simplify ratios, and share an amount in a given ratio.

Guide

A ratio compares two amounts. 2 : 3 ("2 to 3") means for every 2 of the first, there are 3 of the second.

On the bar, shaded parts are the first thing and white parts are the second. A ratio of 2 : 3 is 2 shaded parts and 3 white parts, 5 parts altogether.

Careful: "2 to 3" is not "2 out of 3". In the ratio 2 : 3, the first thing is 25 of the whole, not 23.

Equivalent ratios work like equivalent fractions: multiply or divide both numbers by the same number.