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

For integer 5, the sum with its reciprocal is 5 + 1/5 = 26/5. The other fractions cannot equal n + 1/n for an integer n. For example 15/8 is below the positive-integer…

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

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For integer 5, the sum with its reciprocal is 5 + 1/5 = 26/5. The other fractions cannot equal n + 1/n for an integer n. For example 15/8 is below the positive-integer minimum 2, while the remaining choices do not give an integer root of n² − xn + 1 = 0.

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