Question

In a certain​ fraction, the denominator is 2 less than the numerator. If 1 is added to both the numerator and​ denominator, the resulting fraction is equal to 4/3. Find the original fraction.

Answer 1

7/5

Explanation:

Adding 1 to numerator and denominator will not change the difference between them. In order to make a fraction equal to 4/3 with a difference between numerator and denominator of 2, we can multiply 4/3 by 2/2:

4/3 = 8/6 = (7+1)/(5+1)

The original fraction must be 7/5.