SOLUTION: The numerator of a fraction is less than the denominator. If the numerator and the denominator are increased by 1, the value of a fraction becomes 3/4. What is the original fractio

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The numerator of a fraction is less than the denominator. If the numerator and the denominator are increased by 1, the value of a fraction becomes 3/4. What is the original fractio      Log On


   

Question 1070507: The numerator of a fraction is less than the denominator. If the numerator and the denominator are increased by 1, the value of a fraction becomes 3/4. What is the original fraction?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
n = numerator
d = denominator.

(n + 1) / (d + 1) = 3/4

this means:

n + 1 = 3
d + 1 = 4

solve for n and d and you get:

n = 2
d = 3

the original fraction is 2/3.

it does not appear to be that you even needed to know that the numerator is less than the denominator, since solving the problem did not require that information.

that's what i think, anyway.