Question

the numerator of a fraction is 4 less than denominator if 1 is added on its numerator and denominator it becomes 1/2 find fraction

Answer 1

Let The denominator be x
Then The numerator will become = x-4
Now ATQ
$\frac{x - 4 + 1}{x + 1} = \frac{1}{2} \\ \frac{x - 3}{x + 1} = \frac{1}{2} \\ 2(x - 3) = x + 1 \\ 2x - 6 = x + 1 \\ 2x - x = 1 + 6 \\ x = 7 \\ now \: x \: = 7 \\ so \: the \: fraction \: is \: \frac{7 - 4}{7} = \frac{3}{7}$
HOPE it will help you

Answer 2

hey mate! here's your answer!

let x be the denominator.

so, numerator = x-4

and, if,

numerator = x- 4+ 1 = x -3

and, denominator = x +1

so, according to the question,

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

=> 2(x - 3) = 1(x + 1) ( by cross multiplication)

=> 2x - 6 = x + 1

=> 2x - x = 1 + 6

=> x = 7

thus, denominator = 7 and numerator = 7 - 4 = 3

hence, fraction = 3/7.