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The reciprocal of 2 plus the reciprocal of 6 is the reciprocal of what number?

The reciprocal of 2 plus the reciprocal of 6 is the reciprocal of what number?

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Guest [Entry]

"The reciprocal of 2 is 1/2.
The reciprocal of 6 is 1/6.
Thus, 1/2 + 1/6 = 3/6 + 1/6 = 4/6 = 2/3.
Therefore, the reciprocal of 2/3 is 3/2 or 1.5."