Math Problem Solver

\[ \frac{1}{4} + \frac{1}{9} = \frac{13}{36} = 0.36\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\) and \(\frac{1}{9}\) is \(36\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{9} &= \frac{1 \cdot 9}{4 \cdot 9} + \frac{1 \cdot 4}{9 \cdot 4} \\ &= \frac{9 + 4}{36} \\ &= \frac{13}{36} \end{aligned} \]