5:12=512,3:8=38 LCM of 8,12=24 5:12=512× nbsp;22=1024 nbsp; 3:8=38× nbsp;33=924 ∵ 924 lt;1024 ∴ 38 lt;512 ⇒ 3:8 lt;5:12 ...

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Introduction to Rational Numbers

Compare 5:12 ...

Question

Compare $5 : 12$ and $3 : 8$

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Solution

$5 : 12 = \frac{5}{12}, 3 : 8 = \frac{3}{8}$
LCM of $8, 12 = 24$
$5 : 12 = \frac{5}{12} \times \frac{2}{2} = \frac{10}{24}$
$3 : 8 = \frac{3}{8} \times \frac{3}{3} = \frac{9}{24}$
$∵ \frac{9}{24} < \frac{10}{24}$
$∴ \frac{3}{8} < \frac{5}{12}$
$\Rightarrow 3 : 8 < 5 : 12$

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