contestada

By what percent will a fraction increase if its numerator is decreased by 30%
а
and its denominator is decreased by 50%?

Respuesta :

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

[tex]\implies \dfrac{x}{y}[/tex]

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

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

[tex]\implies \dfrac{0.7x}{0.5y}[/tex]

[tex]\implies \dfrac{0.7}{0.5}=1.4[/tex]

[tex]\implies 1.4 \ \dfrac{x}{y}[/tex]

1.4 as a percentage = 1.4 x 100 = 140%

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