Question

By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?

Answer 1

The fraction will decrease
`33.33\%`

Explanation:

Let

x/y ----> the fraction

we know that

100%-50^=50%=50/100=0.50

100%-25%=75%=75/100=0.75

substitute

`(x)/(y)*(0.50)/(0.75) =(2)/(3)((x)/(y))`

therefore

The percent that the fraction will decrease is equal to

`(1-(2)/(3))*100=33.33\%`