Express the following quantities as a ratio . Also write which of them are ratios of equality, which are ratios of greater inequalities and which are ratios of less inequalities :
(a) 4 months and 1 year 6 months , (b) 75 paise and 1 rupes 25 paise.

Explanation

(a) 1 year 6 months ` = ( 1 xx 12 + 6)` = 18 months.
` :. ` 4 moths : 1 year 6 months = 4 months : 18 months
` = "4 months"/"18 months" = 2/9 = 2 :9`
Now, since ` 2 lt 9`, the ratio is a ratio of less inequality .
(b) 1 rupee 25 paise = ` (1 xx 100 + 25)` paise = 125 paise.
` :. ` 75 paise : 1 rupes 25 paise = 75 paise : 125 paise
` = "75 paise"/(125 "paise" = 3/5 = 3 : 5`
Now , since ` 3 lt 5` , antecedent ` lt` consequent.
` :.` the ratio is a less inequality .