SOLUTION: I have been working on this math problem and I cant' figure it out and I was wondering if someone could help me? Please and Thank You!! I deeply appreciate it!! Complex fraction

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Question 172086This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I cant' figure it out and I was wondering if someone could help me? Please and Thank You!! I deeply appreciate it!!
Complex fractions
Simplify.
1+1/x-1 over 1+1/x^2-1 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Found 2 solutions by Mathtut, MathTherapy:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2B%281%2F%28x-1%29%29%29%2F%281%2B%281%2F%28x%5E2-1%29%29%29.....least common multiple on top is x-1 and on the bottom its x%5E2-1
:
%28%28x-1%2B1%29%2F%28x-1%29%29%2F%28%28x%5E2-1%2B1%29%2F%28x%5E2-1%29%29 now combine terms invert the bottom fraction and multiply remembering that x%5E2-1=(x+1)(x-1)
:
=
:
%28x%2B1%29%2Fx

Answer by MathTherapy(10839) About Me  (Show Source):
You can put this solution on YOUR website!
I have been working on this math problem and I cant' figure it out and I was wondering if someone could help me? Please and Thank 
You!! I deeply appreciate it!!

Complex fractions
Simplify.
1+1/x-1 over 1+1/x^2-1
**********************
%281+%2B+%281%2F%28x+-+1%29%29%29%2F%281+%2B+%281%2F%28x%5E2+-+1%29%29%29
%281+%2B+1%2F%28x+-+1%29%29 ÷ %281+%2B+1%2F%28x%5E2+-+1%29%29
%28%28x+-+1+%2B+1%29%2F%28x+-+1%29%29 ÷ %28%28x%5E2+-+1+%2B+1%29%2F%28x%5E2+-+1%29%29%29
     %28x%2F%28x+-+1%29%29 ÷ %28x%5E2%2F%28x%5E2+-+1%29%29
     %28x%2F%28x+-+1%29%29 * %28%28x%5E2+-+1%29%2Fx%5E2%29 ---- Applying KCF
     %28x%2F%28x+-+1%29%29 * %28%28x+-+1%29%28x+%2B+1%29%2Fx%5E2%29 
   %28cross%28x%29%2Fcross%28%28x+-+1%29%29%29 * %28cross%28%28x+-+1%29%29%28x+%2B+1%29%2F%28x%2Across%28x%5E2%29%29%29 = highlight%28%28x+%2B+1%29%2Fx%29