Question

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

Answer 1

your answer is in the attachment.

Answer 2

Answer:

The fraction is 3/7.

Solution:

Let the Denominator be x  

∴ Numerator = x – 4  

When 1 is added to both its numerator and denominator:

Given,

$\begin{array} { c } { \frac { x - 4 + 1 } { x + 1 } = \frac { 1 } { 2 } } \\\\ { \frac { x - 3 } { x + 1 } = \frac { 1 } { 2 } } \\\\ { 2 ( x - 3 ) = 1 ( x + 1 ) } \\\\ { 2 x - 6 = x + 1 } \\\\ { 2 x - x = 1 + 6 } \\\\ { x = 7 } \end{array}$

∴ The fraction

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

Thus the fraction is 3/7.