Question

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

Answer 1

Answer:

2/5

Step-by-step explanation:

Let x = numerator

3 + x = denominator

$\frac{x}{3+x}$

the numerator and denominator are increased by 1 , the fraction becomes

$\frac{x + 1}{4 + x} = \frac{1}{2}$

cross multiply

2(x + 1 ) = 4 + x

2x + 2 = 4 + x

combine like terms

2x - x = 4 - 2

x = 2 = numerator

denominator = 2 + 3 = 5

2/5 fraction