Fraction Freak-Out

Question

The denominator of a fraction is

5 more than the numerator. If both the numerator and the denominator are decreased by1, The resulting fraction is equivalent to three eighths; 3/8.

Find the fraction.

Answer 1

n/(n+5)

(n-1)/((n+5)-1)=3/8

(n-1)/(n+4)=3/8

cross multiply

8(n-1)=3(n+4)

8n-8=3n+12

5n=20

n=4

4/9 is the fraction