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1/2n + 1/(2n+2) = 1/2*[(1/n + 1/(n+1)] = 1/2*(2n+1)/[n*(n+1)]

or (2n+1)/[2*n*(n+1)]

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Q: The reciprocal of two times a certain integer plus the reciprocal of 2 more than twice the integer equals?
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