Math Problem Solver

\[ \frac{13}{5} - \frac{2}{6} = \frac{34}{15} = 2.2\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{13}{5}\) and \(\frac{-2}{6}\) is \(30\). \[ \begin{aligned} \frac{13}{5} - \frac{2}{6} &= \frac{13 \cdot 6}{5 \cdot 6} + \frac{-2 \cdot 5}{6 \cdot 5} \\ &= \frac{78 + -10}{30} \\ &= \frac{68}{30} \\&= \frac{34}{15} \end{aligned} \]