Question

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

Answer 1

Lets just use $\frac{10}{20}$ for an example. If the number is increased by 60% and the denominator is decreased by 20% we get the new fraction being: $\frac{16}{16}$. Since then new one is equal to 1, and the original is equal to $\frac{1}{2}$, we see that this manipulation of the fraction causes an increase of 100%. 

Answer 2

Answer:

100%

Lets plug in numbers. Say the first fraction was 100/100.

100 increased by 60% = 160

100 decreased by 20% = 120

There you have your new fraction 160/120

you compare that to 100/100 ____ 160/120

Hence, it increases by 100%!

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