The sum of numerator and denominator of a fraction is 47. If 9 is subtracted from denominator, the fraction is equal to 1. What is the original fraction?

The sum of numerator and denominator of a fraction is 47. If 9 is subtracted from denominator, the fraction is equal to 1. What is the original fraction?

Let the denominator be X
(47-x)/(x-9)=1
47-x=x-9
x+x=47+9
2x=56
x=28
Molecule = 47-28 = 19
Original score = 19 / 28