Question 272665
let x = the denominator
let x-3 = the numerator (3 less than the denominator)


the fraction is:


(x-3) / x


increasing the numerator and the denominator by 1 makes your fraction equal to 3/4


your equation for this is:


(x-2) / (x+1) = 3/4


multiply both sides of this equation by (x+1) to get:


(x-2) = (3/4) * (x+1)


multiply both sides of this equation by 4 to get:


4 * (x-2) = 3 * (x+1)


simplify to get:


4x - 8 = 3x + 3


subtract 3x from both sides of this equation and add 8 to both sides of this equation to get:


4x - 3x = 3 + 8


combine like terms to get:


x = 11


x is the denominator.


the numerator is equal to x-3 = 8


original fraction is 8/11


add 1 to both numerator and denominator and you get 9/12


9/12 is the same as 3/4 confirming the value for x = 11 is good.


answer to your question is:


your original fraction is 8/11