Math Problem Solver

\[ 8\frac{13}{15} - \frac{2}{5} = \frac{127}{15} = 8.4\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{8}{1}\), \(\frac{13}{15}\), and \(\frac{-2}{5}\) is \(15\). \[ \begin{aligned} 8\frac{13}{15} - \frac{2}{5} &= \frac{8 \cdot 15}{1 \cdot 15} + \frac{13 \cdot 1}{15 \cdot 1} + \frac{-2 \cdot 3}{5 \cdot 3} \\ &= \frac{120 + 13 + -6}{15} \\ &= \frac{127}{15} \end{aligned} \]