The denominator of a fraction is 6 more than the numerator.

Question

The denominator of a fraction is 6 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 5, the value of the resulting fraction is 1/8. Find the original fraction.

Answer 1

Original fraction: x / (x+6)

 

Revised fraction: (x-3) / (x+11) and this equals 1/8.  Solve for x by cross-multiplying!