Question

The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?

Answer 1

The original fraction is
`(2)/(5)`

Explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

`(X + 1)/(X+3+1) = (1)/(2) \\(X+1)/(X+4) = (1)/(2) \\2X + 2 = X+4\\X = 2`

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is
`(2)/(5)`