Question

The denominator of a rational number is greater than its numerator by 3.1
isincreased by 7 and the denominator is decreased by 1. the new number becomes 32. The
original number is
​

Answer 1

Let a/b is the fraction,

b-8=a

b=a+8

a+17/b-1=3/2

a+17/a+8-1=3/2

a+17/a+7=3/2

2a+34=3a+21

34-21=3a-2a

13=a

a+8=b

13+8=b

21=b

the fraction is 13/21

hope helped!