What is $0.\overline{2}\cdot 6$? Express your answer as a reduced fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is $0.\overline{2}\cdot 6$? Express your answer as a reduced fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{4}{3}
What is $0.\overline{2}\cdot 6$? Express your answer as a reduced fraction.
train