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Question

Fine the smallest number among 23,96,52 and 34.

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Solution

LCM of 3, 6, 2 and 4 is 12.
Converting the given numbers to equivalent rational numbers (having the same denominator), we get

23 = 812

96 = 1812

52 = 3012

34 = 912.

3012<1812<912<812

52<96<34<23
Thus, the smallest out of the given rational numbers is 52.

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