SOLUTION: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original f      Log On


   

Question 389842: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
Found 2 solutions by mananth, ewatrrr:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
..
let numerator be x
denominator = (x+2)
...
1 is subtracted from both
numerator = x-1
denominator = (x+2)-1=x+1
...
The fraction =%28x-1%29%2F%28x%2B1%29
=%28x-1%29%2F%28x%2B1%29=1/2
2(x-1)=(x+1)
2x-2=x+1
2x-x=2+1
x=3
so denominator = 3+2=5
The fraction = 3%2F5
...
m.ananth@hotmail.ca

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,        

Let n represent the original value of the numerator

Write as we Read*** original fraction is n/(n+2)

 [n-1]/[(n+2) -1] = 1/2

Cross multiply to solve for x

 2[n-1] = [(n+2) -1]

 2n - 2 = n + 1

      n = 3  Original fraction is  3/5



CHECKING our Answer****

 2/4 = 1/2