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First, the reciprocal of 2/3 is 3/2.

The product of 2/3 and 3/2 is:

2/3*3/2 = 1

Any fraction times its reciprocal always equals 1.

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Q: What is the product of two thirds and its reciporical?
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What is two thirds times two thirds times two thirds times two thirds time two thirds?

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