Compare the ratios $6 : 21$ and $20 : 63$

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Solution

Compairing the given ratios:
To compare the two ratios, we first make the denominators of both the ratios same.
We know, $20 : 63 = \frac{20}{63}$
Also, $6 : 21 = \frac{6}{21}$
$\Rightarrow \frac{6}{21} = \frac{6 \times 3}{21 \times 3} = \frac{18}{63}$
By comparing $\frac{18}{63}$ and $\frac{20}{63}$ , it is clear that $\frac{18}{63} < \frac{20}{63}$
Therefore, $6 : 21 < 20 : 63$

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