SOLUTION: I dont understand this problem any help is appreciated, Thank you! x/x-4- 1/x-1 divided by x/x-1+ 2/x-3

Question 57355: I dont understand this problem any help is appreciated, Thank you!
x/x-4- 1/x-1 divided by x/x-1+ 2/x-3
Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[x/(x-4)- 1/(x-1)] / [x/(x-1)+ 2/(x-3)]
-------------------
Numerator : [x(x-1)-(x-4)]/[(x-4)(x-1)]
=[x^2-x-x+4]/[[x^2-5x+4]
=[x^2-2x+4]/[x^2-5x+4]
----------
Denominator: [x(x-3+2(x-1)]/[x^2-4x+3]
=[x^2-3x+2x-2]/[x^2-4x+3]
=[x^2-x-2]/[x^2-4x+3]
-------------
Invert the denominator and multiply to get:
[x^2-2x+4/[(x-4)(x-1)] * [(x-3)(x-1)]/[(x-2)(x+1)]
Cancel the (x-1)'s to get:
[(x^2-2x+4)(x-3)]/[(x-4)(x-2)(x+1)]
Cheers,
Stan H.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
If this is what you meant:
divided by
This is how you do it: It's probably easiest to turn this into two fractions then divide rather than using the methods commonly used for complex fractions.
divided by
:
The LCD for the 1st fraction is: (x-4)(x-1) whatever you do to the denominator to get that, you also do to the numerator:

:
The LCD for the 2nd fraction is: (x-1)(x-3)

:
Now you have:
divided by Flip the second fraction and multiply:

Happy Calculating, that was a whopper!!!

RELATED QUESTIONS
((4/x^2-9) + (2/x-3)) / ((1/x+3) + (1/x-3)) any help would be appreciated to simplify... (answered by Alan3354)
After fully simpifying the expression 2*x^2+7*x+3 over x^2+3*x-4 divided by... (answered by solver91311)
Could I get some help on this problem? 3/x^2 + 4x + 3 - 1/x^2 - 9 I do not... (answered by stanbon)
I dont get how to solve equations by graphing. Could you please show step by step how to (answered by stanbon)
I have been trying to simplify this problem, but I am not sure where to start. Any help... (answered by stanbon)
Having hard time understanding the process used to solve this problem. I dont have any... (answered by smik)
Given f(x) = {{{(x-3)/(x-1)}}} and g(x) = {{{(x-4)/(x-2)}}} Find (fog)(x). Any help... (answered by stanbon)
Could you please help me with this problem i dont understand it use f(x)={{{4x^-5}}} (answered by stanbon)
How Do I Find Any Restricions on the varible.. for example im going to give you 3 random... (answered by ewatrrr)