SOLUTION: Simplify 3 divided x-5 plus 1 OVER 1 - 4 divided by x-5 Any help would be great! Thanks

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Question 120469: Simplify
3 divided x-5 plus 1
OVER
1 - 4 divided by x-5
Any help would be great!
Thanks
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Hopefully, this is what your problem looks like:
%28%283%2F%28x-5%29%29%2B1%29%2F%281-%284%2F%28x-5%29%29%29
the first step is to rationalize the denominators. To do this, multiply the numerator and denominator by the "Least Common" of the sub-denominators. In this case, that LCD is x-5. Multiplying top and bottom by x-5 gives:
%283%2Bx-5%29%2F%28x-5-4%29
Simplify a little and you are done:
highlight%28%28x-2%29%2F%28x-9%29%29
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Good Luck,
tutor_paul@yahoo.com