Q: If the numerator of a fraction is increased by 15% and its denominator is decreased by 8%, and the resulting fraction has a value of 15/16, what is the original fraction?
Solve for the original fraction by canceling out the percentage changes.
You can start by multiplying both sides of the equation by 92/115 to get
(115x/92y) * (92/115) = (15/16) * (92/115)
This simplifies to
(x/y) = (3/4)
So the original fraction is 3/4.