Math Problem Solver

\[ \frac{1}{4} + \frac{1}{7} + \frac{1}{14} = \frac{13}{28} = 0.46\overline{428571} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{7}\), and \(\frac{1}{14}\) is \(28\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{7} + \frac{1}{14} &= \frac{1 \cdot 7}{4 \cdot 7} + \frac{1 \cdot 4}{7 \cdot 4} + \frac{1 \cdot 2}{14 \cdot 2} \\ &= \frac{7 + 4 + 2}{28} \\ &= \frac{13}{28} \end{aligned} \]