Question

The numerator of fraction is 1 less then its denominator if the numerator is increased by 5 the new fraction becomes equivalent to 4/5 what is the original factor?

Answer 1

4/5

Explanation:

the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?

Let n = numerator

d = denominator

n = d - 1

`(d - 1)/(d)`

`(d - 1 + 4)/(d + 5)` =
`(4)/(5)`

`(d + 3)/(d+ 5)` =
`(4)/(5)`

cross multiply

5(d + 3) = 4(d + 5)

5d + 15 = 4d + 20

d = 5

n = d - 1

5 - 1 = 4

original fraction 4/5