Question 745496: simplify complex fraction: numerator is x/(x+2) and denominator is 1/x + 1/x+2. I think answer is x^2/2x+2 but not sure how to get it. Answer by rothauserc(4718) (Show Source):
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simplify complex fraction: numerator is x/(x+2) and denominator is 1/x + 1/x+2
note that 1/x +1/(x+2) = x+2+x/x(x+2) then we get
x/(x+2) * x(x+2)/2x+2
cancel the x+2 term and we have
x * x / 2(x+1) = x^2 / 2(x+1)
