SOLUTION: I don't know how to work this problem. Help {{{(1 + 1/x)/(1-1/x)}}}

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Question 68861This question is from textbook
: I don't know how to work this problem. Help
%281+%2B+1%2Fx%29%2F%281-1%2Fx%29 This question is from textbook

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know how to work this problem. Help 

%281+%2B+1%2Fx%29%2F%281-1%2Fx%29

Put the 1's over 1:

%281%2F1+%2B+1%2Fx%29%2F%281%2F1-1%2Fx%29

The LCD of all four denominators is x.
So multiply top and bottom by x%2F1

%28x%2F1%29%2F%28x%2F1%29·%28%281%2F1+%2B+1%2Fx%29%29%2F%28%281%2F1-1%2Fx%29%29

Indicate the multiplication of the numerators
and denominators

%28%28x%2F1%29%281%2F1+%2B+1%2Fx%29%29%2F%28%28x%2F1%29%281%2F1-1%2Fx%29%29

Use the distributive principle:



Simplify:

%28x%2B1%29%2F%28x-1%29

Edwin