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 fract…

Question

asked Sep 22, 2022 80.2k views

1 Answer

Laprof · Answer 1 · 2022-09-25T19:18:00+0000

Answer:

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)