SOLUTION: I need help to solve this complex rational expression 4+2/X _________ X/4+1/8

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Question 140975: I need help to solve this complex rational expression
4+2/X
_________
X/4+1/8

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4+2/X
________
X/4+1/8
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[4+(2/x)] / [(x/4)+(1/8)]
= (4x+2)/x] / [(2x+1)/8]
Invert the denominator and multiply to get:
= (2(2x+1)/x) * 8/(2x+1)
Cancel 2x+1 to get:
= 16/x
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Cheers,
Stan H.