Question

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$\frac{8}{14} \: and \: \frac{7}{16}$
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Answer 1

$\huge \red{ \mid{ \fbox{ \tt{Solution}} \mid}}$

LCM of 14 and 16 = 2×7×8 = 112

$\implies\frac{8}{14} = \frac{8 \times 8}{14 \times 8} = \frac{64}{112}$

$\implies \frac{7}{16} = \frac{7 \times 7}{16 \times 7} = \frac{49}{112}$

Since, 64 > 49.

$\therefore \frac{64}{112} > \frac{49}{112}$

$\implies \: \frac{8}{14} > \frac{7}{16}$

$\large \bold \red{ More \: information }$

• Express each rational number with a positive denominator.

• Find LCM of the positive denominators.

• Express each off the given rational numbers with LCM as the common denominator.

• The number having greater numerator is greater.

Answer 2

Step-by-step explanation:

LCM of 14 and 16 = 2×7×8 = 112

Express each rational number with a positive denominator.

Find LCM of the positive denominators.

Express each off the given rational numbers with LCM as the common denominator.

The number having greater numerator is greater.