Math Problem Solver

\[ \frac{1}{20} + \frac{1}{30} = \frac{1}{12} = 0.08\overline{3} \]

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 \(60\). \[ \begin{aligned} \frac{1}{20} + \frac{1}{30} &= \frac{1 \cdot 3}{20 \cdot 3} + \frac{1 \cdot 2}{30 \cdot 2} \\ &= \frac{3 + 2}{60} \\ &= \frac{5}{60} \\&= \frac{1}{12} \end{aligned} \]