SOLUTION: Please help, I have tried doing about twenty of these by myself and haven't gotten a single one right. I just don't understand at all. The denominator of a fraction is three mor

Algebra ->  Rational-functions -> SOLUTION: Please help, I have tried doing about twenty of these by myself and haven't gotten a single one right. I just don't understand at all. The denominator of a fraction is three mor      Log On


   

Question 909495: Please help, I have tried doing about twenty of these by myself and haven't gotten a single one right. I just don't understand at all.
The denominator of a fraction is three more than the numerator. If both numerator and denominator are decreased by four, the simplified result is 9/10. Find the original fraction.(do not simplify)
Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n/n+3
(n-4)/(n+3-4)=9/10
9*(n+3-4)=10*(n-4)
9n-9=10n-40
n=31
31/34 original fraction
31-4=27
34-4=30
27/30=9/10

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the numerator of the original fraction. Then the denominator of the original fraction must be , and



is a representation of the original fraction. Now, let's reduce each of the numerator and denominator by 4:



and we are given that this new fraction is equivalent to so:



Cross-multiply:



Solve for , then calculate so that you can form the desired fraction.

Check your work. Take your answer, reduce each of the numerator and denominator by 4, and see if you have a fraction that reduces to

John

My calculator said it, I believe it, that settles it