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(1/x+1) + (1/(1+(1/x)) = ?
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\[ \frac{1}{x+1} + \frac{1}{1 + \frac 1x} \\ \text{Multiply top and bottom of second fraction by x:} \\ \frac{1}{x+1} + \frac{x}{x + 1} = \frac{1+x}{x+1} = 1\\ \]
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yw.
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