Question

the numerator of a fraction is 2 less than the dinominator. if 5 is added to both the numerator and the dinominator, the fraction becomes 3/4 find the fraction​

Answer 1

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Let the denominator be x.

∴ Numerator = x - 2

$\frac{x-2+5}{x+5} = \frac{3}{4}\\ \frac{x+3}{x+5} = \frac{3}{4}\\ 4(x+3) = 3(x+5)\\4x + 12 = 3x + 15\\4x - 3x = 15 - 12\\x = 3$

∴ Denominator = 3

Numerator = x - 2

                  => 3 - 2 = 1

∴ The fraction is $\frac{1}{3}$