Question 172149: Please help me I really do not understand what I need to do:
Simplify each complex fraction.
2 + 1
- --
x x-2
_______
1 - 3
-- --
x-2 x Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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.
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