Question 19

State whether the given statements are true (T) or false (F).

3 : 33 = 33 : 333

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Solution

Given, 3 : 33 = 33 : 333
$\Rightarrow \frac{3}{33} = \frac{33}{333}$
Simplest form of $\frac{3}{33} = \frac{1}{11}$ [on dividing numerator and denominator by 3]
Simplest form of $\frac{33}{333} = \frac{11}{111}$ [on dividing numerator and denominator by 3]

Simplest form of both the ratios are not equal as $\frac{1}{11} \neq \frac{11}{111}$ .
Hence, the given statement is false.

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