The sum of numerator and denominator of a simplest fraction is 86. If 9 is subtracted from both numerator and denominator, the fraction will be 8 / 9?

The sum of numerator and denominator of a simplest fraction is 86. If 9 is subtracted from both numerator and denominator, the fraction will be 8 / 9?


After subtracting 9
86-9*2=68
68/(8+9)=4
Now the score is (4 * 8) / (4 * 9) = 32 / 36
The original score is (32 + 9) / (36 + 9) = 41 / 45