The numerator of a fraction is 5 less than its denominator. If 1 is added to each its value becomes 1/2. Find the original fraction. Please solve it..

Question

asked Nov 24, 2021 218k views

1 Answer

Bubi · Answer 1 · 2021-12-01T06:45:26+0000

Answer: 4/9

Explanation:

Let x represent the denominator. Then the fraction is: (x - 5)/x

Add 1 to the numerator and denominator → (x - 5 + 1)/(x + 1) = 1/2

Cross Multiply: 1(x + 1) = 2(x - 4)

Distribute: x + 1 = 2x - 8

Subtract x from both sides: 1 = x - 8

Add 9 to both sides: 9 = x

Numerator: x - 5 → 9 - 5 = 4

Denominator: x → 9

So the fraction is: 4/9