Question

20. The numerator of a fraction is 2 less than the denominator. If one is added to
its denominator, it becomes 1/2 find the fraction.​

Answer 1

$let \: the \: fraction \: be \: \frac{x - 2}{x}$

(Since we took denominator as x , the numerator becomes x-2 as per the question)

Given :

$\frac{x - 2}{x + 1} = \frac{1}{2 } \\ \\ cross \: multiply \\ \\ 2x - 4 = x + 1 \\ x = 5$

Therefore the fraction is

$\frac{3}{5}$

Hope this helps

All The Best

Answer 2

$\huge\sf{Answer:-}$

Given question:-

The numerator of a fraction is 2 less than the denominator. If one is added to

its denominator, it becomes 1/2

To Find:-

find the fraction.

Hence:-

Let y be the denominator so, y - 2 will be the numerator.

So,

$\frac{y- 2}{y + 2} = \frac{1}{2}$

Now , Cross Multiply

= y + 3 = 2y

= 2y - y = 3

= y = 3

= y + 2 = 3 + 2 = 5

Hence, 3 / 5 is the fraction.