SOLUTION: In this expression I know that the first step is to find the common denominator. And that's where I stopped. Yeah. The expression has complex fractions and involves variables.

Question 99447: In this expression I know that the first step is to find the common denominator. And that's where I stopped. Yeah. The expression has complex fractions and involves variables. It is . Where do I start? I believe that I multiply 6(x-2) by 6x however there's already a 6 in both denominators so do I just ignore this and multiply by (x-2)? I'm very confused. Can you help me?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
7/6(x-2)-(x-3)/6x
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Least common denominator is 6x(x-2)
Rewrite each fraction with the lcd as its denominator:
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7*x/lcd - (x-3)*(x-2)/lcd
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Combine the numerators over the lcd to get:
[7x-(x^2-5x+6)]/lcd
Simplify the numerator:
[-x^2+12x-6]/lcd
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Final Answer:
[-x^2+12x-6]/[6x(x-2)]

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