5th Grade Hard Difficulty Problem Problem of the Week 12/3/2018

Algebra Level 2

The harmonic mean of a set of numbers is the reciprocal of the average of the reciprocal of the numbers. What is the harmonic mean of 1,2, and 4?

Credits to the MAA organization.

7/4 I would be guessing 12/7 7/12

Shu Hung Wang by Shu Hung Wang , 16, USA

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1 solution

Shu Hung Wang
Dec 13, 2018
  1. The reciprocal of 1, 2, and 4 is 1/1, 1/2, and 1/4. 2. The average of these numbers is 7/12. 3. The reciprocal of 7/12 is 12/7. 4. So, the answer is 12/7, which means answer A is correct.
1 Helpful 0 Interesting 0 Brilliant 1 Confused

This is mainly about applying the definition.

Shu Hung Wang - 2 years, 4 months ago

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