SOLUTION: The denominator of the fraction is 4 more than the numerator. If both the numerator and the denominator of the fraction are increased by 1, the resulting fraction equals 1/2. Find

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The denominator of the fraction is 4 more than the numerator. If both the numerator and the denominator of the fraction are increased by 1, the resulting fraction equals 1/2. Find       Log On


   

Question 1088212: The denominator of the fraction is 4 more than the numerator. If both the numerator and the denominator of the fraction are increased by 1, the resulting fraction equals 1/2. Find the fraction
Found 2 solutions by Fombitz, josgarithmetic:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28A%2B1%29%2F%28%28A%2B4%29%2B1%29=1%2F2
2%28A%2B1%29=A%2B5
2A%2B2=A%2B5
Solve for A, then find A%2F%28A%2B4%29

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

Original Fraction, n%2F%28n%2B4%29
-
%28n%2B1%29%2F%28n%2B4%2B1%29=1%2F2
%28n%2B1%29%2F%28n%2B5%29=1%2F2
2%28n%2B5%29%28%28n%2B1%29%2F%28n%2B5%29%29=2%28n%2B5%29%281%2F2%29
2%28n%2B1%29=n%2B5
n%2B5=2n%2B2
n=3
-
highlight%28n%2Fd=3%2F7%29