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Which one is greater out of (2 : 3) and (4 : 7)?

(a) 2 : 3
(b) 4 : 7
(c) both are equal

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Solution

(a) (2 :3)

LCM of 3 and 7 = $7 \times 3 =$ 21

$\frac{2 \times 7}{3 \times 7} = \frac{14}{21} and \frac{4 \times 3}{7 \times 3} = \frac{12}{21} Clearly, \frac{12}{21} < \frac{14}{21} H ence, (4 : 7) < (2 : 3)$

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Mark (✓) against the correct answer
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