<PRE><B>Question 172149</B>
Simplify each complex fraction.

2 + 1
-   --
x   x-2
_______
1  - 3
--   --
x-2   x

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You need a least common denominator in the top and in the bottom
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[2(x-2)+x]/[x(x-2)] / [x - 3(x-2)]/[x(x-2)]
Invert the bottom (the denominator) and multiply, as follows:

= [3x-2]/[x(x-2)] * [x(x-2)]/[-2(x+1)]

Cancel the x(x-2) which is common to a numerator and a denominator to get:

= [3x-2]/[-2(x+1)]

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Cheers,
Stan H.


</PRE>