Math Problem Solver

\[ \frac{13}{22} + \frac{30}{55} = \frac{25}{22} = 1.1\overline{36} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{13}{22}\) and \(\frac{30}{55}\) is \(110\). \[ \begin{aligned} \frac{13}{22} + \frac{30}{55} &= \frac{13 \cdot 5}{22 \cdot 5} + \frac{30 \cdot 2}{55 \cdot 2} \\ &= \frac{65 + 60}{110} \\ &= \frac{125}{110} \\&= \frac{25}{22} \end{aligned} \]