06/19/2020 (2011: Countdown Round, Problem 15)
Q: What is the reciprocal of the sum of the reciprocals of the first three positive integers? Express your answer as a common fraction.
A: 6/11
The sum of the reciprocals of the first three positive integers is 1/1 + ½ + ⅓ = 11/6.
The reciprocal of 11/6 is 6/11.
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