Question

The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by one, the simplified result is 6/7. Find the original fraction.

Answer 1

10/12

Explanation:

Let's work backwards.

We decrease both 6 and 7 by one, then we get 5 and 6. So our new fraction is 5/6. We know that the denominator is two more than the numerator, so we have to pick numbers that are multiples of 5 and 6 and make it so the denominator is two more than the numerator.

Lucky for us we only have to multiply 5 and 6 by 2 to get an answer that works:

10/12