By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%?

Lets take fraction

a/b

When numerator is increased by 25%, it is going to be

(a+0.25a) = 1.25a

When denominator is increased by 20%, it is going to be (b+0.2b) = 1.2b

New fraction (1.25a/1.2b) = 125a/120b = (125/120) * (a/b) =

= (25/24) (a/b) ≈1.0417 (a/b) = 1 (a/b) + 0.047 (a/b)

0.047=4.7 %