Question

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

Answer 1

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

$\implies \dfrac{x}{y}$

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

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

$\implies \dfrac{0.7x}{0.5y}$

$\implies \dfrac{0.7}{0.5}=1.4$

$\implies 1.4 \ \dfrac{x}{y}$

1.4 as a percentage = 1.4 x 100 = 140%

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