Question

The denominator of a fraction is 8 more than the numerator. If 5 is added to the numerator and denominator the fraction becomes ½. Find the fraction.​

Answer 1

Answer:

Let the numerator be x

Therefore, denominator = x + 8

Step-by-step explanation:

If 5 is added to both numerator and denominator, then

numerator = x + 5

denominator = x + 8 + 5 = x + 13

(x + 5) / (x + 13) = 1/2

2(x +5) = 1(x + 13)

2x + 10 = x + 13

2x - x = 13 -10

x = 3

Therefore, numerator = x = 3

denominator = x + 8 = 3 + 8 = 11

Hence, fraction = 3/11