Fraction word question

Question

The numerator of a fraction is 7 less than the denominator If the numerator is increased by 3 the new fraction is equivalent to 3/4. What is the original fraction?

Answer 1

Original fraction:  x/(x+7)

 

(x+3)/(x+7) = 3/4

cross multiply

4(x+3)=3(x+7)

4x+12=3x+21

4x-3x=21-12

x=9

 

original fraction: 9/(9+7) = 9/16