<|system|>
Express $0.6\overline{333}$ as a common fraction.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Instead of solving it algebraically, notice that this decimal is simply $\frac{6}{10} + \frac{1}{3} \cdot \frac{1}{10} = \frac{18}{30} + \frac{1}{30} = \frac{19}{30}$.