Math Problem Solver

\[ \frac{1}{20} - \frac{1}{30} = \frac{1}{60} = 0.01\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{20}\) and \(\frac{-1}{30}\) is \(60\). \[ \begin{aligned} \frac{1}{20} - \frac{1}{30} &= \frac{1 \cdot 3}{20 \cdot 3} + \frac{-1 \cdot 2}{30 \cdot 2} \\ &= \frac{3 + -2}{60} \\ &= \frac{1}{60} \end{aligned} \]