Question : $\left (0.\overline{11} + 0.\overline{22} \right) × 3$ is equal to:
Option 1: $3$
Option 2: $1.\overline{9}$
Option 3: $1$
Option 4: $0.\overline{3}$
Correct Answer: $1$
Solution :
Given: $\left (0.\overline{11} + 0.\overline{22} \right )\times3$
The fraction form of $0.\overline{11} = \frac{11}{99} = \frac{1}{9}$
The fraction form of $0.\overline{22} = \frac{22}{99} = \frac{2}{9}$
$\left ( 0.\overline{11}+0.\overline{22} \right )\times3 = \left (\frac{1}{9} + \frac{2}{9} \right) \times3 = \frac{1}{3}\times 3 = 1$
Hence, the correct answer is $1$.
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