Math Problem Solver

\[ \frac{-6}{13} - \frac{-7}{15} = \frac{1}{195} = 0.0\overline{051282} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-6}{13}\) and \(\frac{7}{15}\) is \(195\). \[ \begin{aligned} \frac{-6}{13} - \frac{-7}{15} &= \frac{-6 \cdot 15}{13 \cdot 15} + \frac{7 \cdot 13}{15 \cdot 13} \\ &= \frac{-90 + 91}{195} \\ &= \frac{1}{195} \end{aligned} \]