Question

By what percent will a fraction increase if its numerator is decreased by 30%

а
and its denominator is decreased by 50%?

Answer 1

40%

Explanation:

Let x = numerator

Let y = denominator

`\implies (x)/(y)`

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

`\implies (0.7x)/(0.5y)`

`\implies (0.7)/(0.5)=1.4`

`\implies 1.4 \ (x)/(y)`

1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%