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Question
Find the greatest rational  number among the given options.
Options:
A .  −49
B .  −512
C .  −718
D .  −23
Answer: Option C
:
C
Note that LCM of 9, 12, 18, 3 is 36.
Using LCM to convert each of the given rational numbers to equivalent forms,
49 = 1636
512 = 1536
718 = 1436
23 = 2436
Since the denominators are equal, we now compare the rational numbers using its numerators.
Thus, 2436<1636<1536<1436
i.e., 23<49<512<718
718 is the greatest among the given options.

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