Question

The numerator of a given number is 4 less than the denominator.if 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7. What is the original fraction?

Pl help fast

Answer 1

5/9

Explanation:

x/y = original fraction

x = y-4

y-4+5 / y+5 = 5/7 which is the same as
`(y+1)/(y+5)` =
`(5)/(7)`

cross-multiply to get:

7(y+1) = 5(y+5)

7y+7 = 5y+25

2y + 7 = 25

2y = 18

y = 9

x = 9-4 or 5

x/y = 5/9

Answer 2

3/7 is the original fraction