SOLUTION: A Fraction has a value 3/4. If 4 is added to the numerator and the denominator is decreased by 2, the resulting fractions have the value 6/7. What is the original fraction?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A Fraction has a value 3/4. If 4 is added to the numerator and the denominator is decreased by 2, the resulting fractions have the value 6/7. What is the original fraction?      Log On


   

Question 1005860: A Fraction has a value 3/4. If 4 is added to the numerator and the denominator is decreased by 2, the resulting fractions have the value 6/7. What is the original fraction?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Fd=3%2F4%2C%28n%2B4%29%2F%28d-2%29=6%2F7%29

n=3d%2F4
-
7%28n%2B4%29=6%28d-2%29
7n%2B28=6d-2
7n-6d=-30
7%283d%2F4%29-6d=-30
21d-24d=-120
-3d=-120
highlight%28d=40%29 making numerator highlight%28n=30%29.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A Fraction has a value 3/4. If 4 is added to the numerator and the denominator is decreased by 2, the resulting fractions have the value 6/7. What is the original fraction?
Both parts of the fraction should have integer values. Numerator is but denominator isn't. Check your work! 

Is it that difficult to submit the correct info.?