Question

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answer 1

The first thing you do is assume a fraction, let's say:
1/2
if the numerator is increased by 60% and its denominator is decreased by 20%, then:
(1(1+60%))/(2*.8)=1.6/1.6=1
So, 1/2 became 1. Let's find out the percentage the fraction increased:
1-(1/2)=1/2=.5
then
(1/2)/1=1/2=.5=50%
Therefore, a fraction will increase by 50%

Answer 2

100%

Explanation:

n/d --> 1.6n/(0.8d) = 2n/d

2x as large, a 100% increase