Question

The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and the denominator, it becomes 1/2 . Find the fraction

Answer 1

Answer:

$\frac{3}{7}$

Step-by-step explanation:

let x be the value of the denominator , then fraction is

$\frac{x-4}{x}$

adding 1 to numerator and denominator , gives

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

$\frac{x-3}{x+1}$ = $\frac{1}{2}$ ( cross- multiply )

2(x - 3) = x + 1

2x - 6 = x + 1 ( subtract x from both sides )

x - 6 = 1 ( add 6 to both sides )

x = 7

then original fraction

= $\frac{7-4}{7}$ = $\frac{3}{7}$