Math Problem Solver

\[ \frac{1}{15} - \frac{1}{20} = \frac{1}{60} = 0.01\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{15}\) and \(\frac{-1}{20}\) is \(60\). \[ \begin{aligned} \frac{1}{15} - \frac{1}{20} &= \frac{1 \cdot 4}{15 \cdot 4} + \frac{-1 \cdot 3}{20 \cdot 3} \\ &= \frac{4 + -3}{60} \\ &= \frac{1}{60} \end{aligned} \]