Question

the numerator of a fraction is 4 less than the denominator. if 1 is added to both its numerator and denominator it becomes half. find the fraction​

Answer 1

Answer:

Step-by-step explanation:

Let the denominator of the required fraction be x.

Then, its numerator = (x - 4)

∴ (x - 4) + 1/ x + 1 = 1/2

⇒ x - 3/x + 1 = 1/2

⇒ 2(x - 3) = x + 1

⇒ 2x - 6 = x +1

⇒ 2x - x = 6 + 1

⇒ x = 7.

∴ Denominator = 7 and Numerator = (7 - 4) = 3.

Hence, the required fraction is 3/7.

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