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

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) (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) (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

RELATED QUESTIONS
I asked previously about factoring/simplifying of polynomials. I did not just want the... (answered by bharathi777)
10x^5+11x^4+3x^3 I have to factor by grouping and ac method please help I don�t know what (answered by KMST)
Hi. I'm teaching myself Algebra for the GRE because I somehow missed all the math in... (answered by ewatrrr)
Please help with this problem< i am terrible at math an i just don"t get it?? I even... (answered by stanbon)
I am using the fundamental identities to try to verify the following equation. It is a... (answered by ikleyn,mccravyedwin,MathTherapy)
I cannot solve this problem. I know what the answer is because I used a process if... (answered by Earlsdon)
These problems I have been working on all weekend, and I do not understand. My grade and... (answered by stanbon)
Can someone please help me with this math riddle? I have been struggling with it for days (answered by CPhill)
How do I find the area of a trapezoid? I don't understand so please help (answered by ewatrrr)