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Question

Compare the following rational numbers and choose the correct option(s): 4âˆ’9, 5âˆ’12, 7âˆ’18, 2âˆ’3

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 options are C 7/-18 D 2/-3 When we have to compare two rational numbers, we first make their denominators equal and then compare their numerators. LCM of 9, 12, 18, 3 is 36. Using LCM make the denominator equal. 4−9 = 4×4−9×4 = 16−36 5−12 = 5×3−12×3 = 15−36 7−18 = 7×2−18×2 = 14−36 2−3 = 2×12−3×12 = 24−36 Among 16−36, 15−36, 14−36 and 24−36; 14−36 is greatest and 24−36 is smallest.

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