Math Problem Solver

\[ \frac{1}{4} + \frac{1}{5} + \frac{1}{15} = \frac{31}{60} = 0.51\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{5}\), and \(\frac{1}{15}\) is \(60\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{5} + \frac{1}{15} &= \frac{1 \cdot 15}{4 \cdot 15} + \frac{1 \cdot 12}{5 \cdot 12} + \frac{1 \cdot 4}{15 \cdot 4} \\ &= \frac{15 + 12 + 4}{60} \\ &= \frac{31}{60} \end{aligned} \]