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

Answer:

The original fraction is $\frac{2}{5}$

Step-by-step 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

$\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2$

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is $\frac{2}{5}$