SOLUTION: Simplyfy equation ((1/x)/(2/x)-(1/(1-x)))

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Question 70645: Simplyfy equation
((1/x)/(2/x)-(1/(1-x)))

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%281%2Fx%29%2F%282%2Fx%29-%281%2F%281-x%29%29%29
:
Let's deal with the %281%2Fx%29%2F%282%2Fx%29 first,
when you divide fractions, invert the dividing fraction and multiply
%281%2Fx%29%2A%28x%2F2%29; cancel the x's and you have 1%2F2
;
Now the problems is
1%2F2+-+1%2F%28%28x-1%29%29
:
The common denominator is 2(x-1)
%281%28x-1%29+-+2%29%2F2%28x-1%29 = %28x+-+1+-+2%29%2F%282x-2%29 = %28x+-+3%29%2F%282x+-+2%29
: