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Question

Find the greatest rational number among the given options.


A

-4/9

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B

5/-12

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C

7/-18

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D

2/-3

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Solution

The correct option is C

7/-18


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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