Question

A fraction is such that the numerator is 4 less than the denominator. If we add 7 to both the numerator and
the denominator, the resulting fraction becomes2/3 find thefraction.
​

Answer 1

Step-by-step explanation:

Let the denominator be x

and the numberator be x-4

Now, According to question,

x-4+7/ x+7 = 2/3

x+3 / x+7 = 2/3

3(x+3) = 2(x+7)

3x+9 = 2x+14

3x-2x = 14-9

x= 5

Therfore, denoimator= 5 and the numberator = 5-4 =1

So, the fraction is 1/5