Answer: 4/9
Step-by-step 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
