The numerator of a fraction is 4 less than its denominator.If 2 is added to the numerator then the fraction becomes 5/7 the fraction

Question

asked Dec 1, 2020 230k views

1 Answer

Simon Ottenhaus · Answer 1 · 2020-12-06T11:58:36+0000

(3)/(7) is the original fraction

let the denominator of the original fraction be n, then

(n-4)/(n) is the original fraction

adding 2 to the numerator gives

(n-4+2)/(n) =
(5)/(7) , hence

(n-2)/(n) =
(5)/(7) ( cross- multiply )

7(n - 2) = 5n

7n - 14 = 5n ( subtract 5n from both sides )

2n - 14 = 0 ( add 14 to both sides )

2n = 14 ( divide both sides by 2 )

n = 7

original fraction =
(7-4)/(7) =
(3)/(7)