Comparison of ratios

If a:b and c:d are two ratio then

a:b>c:d if ad>bc

a:b < c:d if ad < bc

a:b=c:d if ad=bc

Examples:

a) 2:5 > 3:8 as 2x8 > 5x3

b) 2:5 < 5:7 as 2x7 < 5x5

Ratio of greater inequality, less inequality and equality.

A ratio a:b is said to be of

• greater inequality, if a>b

• less inequality, if a < b

• equality, if a=b

Example:

The ratio 5:3 is of greater inequality.

The ratio 2:5 is of less inequality.

The ratio 3:3 is of equality.