Question

the numerator of a fraction is 4 less than its denominator if 1 is added to both its numerator and denominator the fraction becomes 1 /2 find the fraction.

Answer 1

Let the denominator be x.
Then the numerator is x-4 .

Now the fraction is
$\frac{x-4}{x }$

If 1 is added to both numerator and denominator ,then the fraction becomes 1/2 .

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

$\frac{x - 3}{x +1 } = \frac{1}{2}$

$2(x -3) = 1(x +1 )$

$2x -6 = x +1 \\ 2x - x = 1 +6 \\ x = 7$

Now, Denominator of the fraction is 7

The numerator of the fraction is 7-4 = 3.

Therefore, The fraction is 3/7

Answer 2

The fraction is 3/7 which is the correct answer