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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: $0.\overline{3}$


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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