SOLUTION: Please help me find the original fraction- The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by two, the simp

Algebra ->  Rational-functions -> SOLUTION: Please help me find the original fraction- The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by two, the simp      Log On


   

Question 1175264: Please help me find the original fraction- The denominator of a fraction is five more than twice the numerator.
If both numerator and denominator are decreased by two,
the simplified result is 1/3. Find the original fraction.
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction, n%2F%282n%2B5%29

%28n-2%29%2F%282n%2B3%29=1%2F3----------solve and finish.

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

Hi
The denominator of a fraction is five more than twice the numerator."n"
n/(2n+5)
If both numerator and denominator are decreased by two
(n-2)/(2n+3) = 1/3
3(n-2) = 2n+3
n = 9  and the denominator is 23   18%2B5
 Original fraction is :  9/23
7/21 = 1/3  checks
Wish You the Best in your Studies.