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.
Will mark your answer as Brainliest....

Answer 1

Answer:

(3/7)

Step-by-step explanation:

Let the denominator be 'x'.

Then the numerator will be x - 4.

Hence, the original fraction is (x - 4/x).

Given that 1 is added to both, it become (1/2).

⇒ [(x - 4) + 1]/[x + 1] = 1/2

⇒ 2(x - 4 + 1) = x + 1

⇒ 2(x - 3) = x + 1

⇒ 2x - 6 = x + 1

⇒ x = 7

∴ Numerator will be: x - 4 = 3.

∴ Denominator will be : x = 7.

Therefore, the original fraction = (3/7).

Hope it helps!

Answer 2

Let the denominator be x

and the numerator be x-4

X-4 +1/ X+1 = 1/2

2(X-4+1) = X+1

2x -8 +2 =  X+1

2x -x = 1+8-2

x = 7

Therefore, fraction = x-4 / x

                                = 7-4 / 7

                                 = 3 / 7 ans.