SOLUTION: When I emailed this question one of the people who answered told me to add parentheses so he could solve it. Hopefully this helps to make it better!! I deeply appreciate the help!!

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Question 172176This question is from textbook Algebra and Trigonometry Structure and Method book 2
: When I emailed this question one of the people who answered told me to add parentheses so he could solve it. Hopefully this helps to make it better!! I deeply appreciate the help!!!
Complex fractions.
1-((2-1/x)/x) over 1-1/x This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the expression %281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 ???


%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 Start with the given expression


%281-%28%28%282x%29%2F%28x%29-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 Multiply 2 by x%2Fx


%281-%28%282x-1%29%2Fx%29%2Fx%29%2F%281-1%2Fx%29 Combine %282x%29%2F%28x%29-1%2Fx to get %282x-1%29%2Fx



%281-%282x-1%29%2F%28x%5E2%29%29%2F%281-1%2Fx%29 Simplify %28%282x-1%29%2Fx%29%2Fx to get %28%282x-1%29%2Fx%29%2A%281%2Fx%29=%282x-1%29%2F%28x%5E2%29



Multiply EVERY term by the inner LCD x%5E2 to clear the inner fractions.


%28x%5E2-%282x-1%29%29%2F%28x%5E2-x%29 Simplify


%28x%5E2-2x%2B1%29%2F%28x%5E2-x%29 Distribute


%28%28x-1%29%28x-1%29%29%2F%28x%5E2-x%29 Factor the numerator


%28%28x-1%29%28x-1%29%29%2F%28x%28x-1%29%29 Factor the denominator


%28highlight%28%28x-1%29%29%28x-1%29%29%2F%28x%2Ahighlight%28%28x-1%29%29%29 Highlight the common terms.


%28cross%28%28x-1%29%29%28x-1%29%29%2F%28x%2Across%28%28x-1%29%29%29 Cancel out the common terms.


%28x-1%29%2Fx Simplify



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Answer:

So %281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 simplifies to %28x-1%29%2Fx