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.