Math Problem Solver

\[ \frac{2}{10} - \frac{1}{6} = \frac{1}{30} = 0.0\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{10}\) and \(\frac{-1}{6}\) is \(30\). \[ \begin{aligned} \frac{2}{10} - \frac{1}{6} &= \frac{2 \cdot 3}{10 \cdot 3} + \frac{-1 \cdot 5}{6 \cdot 5} \\ &= \frac{6 + -5}{30} \\ &= \frac{1}{30} \end{aligned} \]