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If we multiply a fraction by itself and divided the product by its reciprocal, the fraction thus obtained is 18 26/ 27. The original fraction is?

8/27
22/3
11/3
None of these

Correct Answer: 22/3

Explanation:

∴ N x N x 1/N = 18²⁶/₂₇
⇒ N³ = 512/27
⇒ N³= (8/3)³
∴ N = 8/3 = 2²/₃

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