Sum and Reciprocal

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Which of the following fractions is a result of the sum of an integer and its reciprocal?

22/7 35/6 65/8 19/4

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1 solution

Mamun Abdullah
Aug 31, 2015

Consider, n is the integer. Then its reciprocal is 1/n.

So, sum of the two, n+1/n=(1+n^2)/n

if n=8 then (1+64)/8 = 65/8

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