SOLUTION: {{{x/(1+x/2-x/3)}}}

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Question 610923: x%2F%281%2Bx%2F2-x%2F3%29
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
Reorder the polynomial.
%28x%29%2F%28%28x%29%2F%282%29-%28x%29%2F%283%29%2B1%29
Make the denominators equal by using the LCD (6).

Multiply everything to simplify the equation.
%28x%29%2F%28-%282x%29%2F%286%29%2B%283x%29%2F%286%29%2B1%29
Combine the numerators.
%28x%29%2F%28%28-2x%2B3x%29%2F%286%29%2B1%29
Use the Distributive Property.
%28x%29%2F%28%28%28-2%2B3%29x%29%2F%286%29%2B1%29
Simplify within parentheses.
%28x%29%2F%28%28%281%29x%29%2F%286%29%2B1%29
Use the LCD of 6 again.
%28x%29%2F%28%28x%29%2F%286%29%2B1%2A%286%29%2F%286%29%29
Combine the numerators.
%28x%29%2F%28%28x%2B6%29%2F%286%29%29
Multiply the factor by the rest of the expression to remove the fraction within the denominator.
%28x%29%2F%28x%2B6%29%2A6
Multiply.
%28x%2A6%29%2F%28x%2B6%29
Finally, simplify it out:
6x%2F%28x%2B6%29. There's your answer!