# The numerator and the denominator of a fraction are in a ratio 3:2.If 3 is added to the numerator and 2 is subtracted from the denominator,a new fraction is formed whose value is 9/4 . Find the original fraction.

1. let the original fraction be 3x/(2x)

(3x+3)/(2x-2) = 9/4 , where x ≠ 1
18x-18 = 12x + 12
6x = 30
x = 5

the original fraction is 15/10

A poorly thought-out question.
Fractions should be reduced to their lowest terms.
We would of course reduce our fraction 15/10 to 3/2. In that case the suggested operation results in 6/0, which is undefined

only if we leave the fraction in its incomplete form is the result valid.
(15+3)/(10-2) = 18/8 = 9/4