Question

the denominator of a common fraction exceeds numerated by 7 if 6 is added to the numerator as well as the denominator the new fraction obtained is 3 by 4 find the rational common fractions

Answer 1

D=N+7
(N+6)/(D+6)=3/4
4(N+6)=3(D+6)
4N+24=3D+18
4N+6=3D
4N+6=3(N+7)
4N+6=3N+21
N=15
D=15+7
D=22
here N is numerator
D is denominator