State whether following statement is true or false.
$3 : 5 < 7 : 11$

True

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False

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Solution

The correct option is A True
Converting the given ratios into fractions we get, $\frac{3}{5}; \frac{7}{11}$
LCM of $5, 11 = 55$
Converting the fractions in like fractions with denominator $55$ , we get

$\frac{3}{5} = \frac{3 \times 11}{5 \times 11} = \frac{33}{55}$

$\frac{7}{11} = \frac{7 \times 5}{11 \times 5} = \frac{35}{55}$
Comparing these fractions, $\frac{35}{55} > \frac{33}{55}$ as $35 > 33$

Hence, $7 : 11 > 3 : 5$

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