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 ->  Rate-of-work-word-problems -> 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 389027: 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
. Be specific in explaining please?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Originally, the fraction was,
X%2F%28X%2B2%29
Subtracting 1 from the numerator and denominator gives,
%28X-1%29%2F%28X%2B2-1%29=1%2F2
%28X-1%29%2F%28X%2B1%29=1%2F2
2%28X-1%29=X%2B1
2X-2=X%2B1
X=3
So the original fraction was,
X%2F%28X%2B2%29=3%2F%283%2B2%29
highlight%28X%2F%28X%2B2%29=3%2F5%29