Math Problem Solver

\[ \frac{7}{10} - \frac{1}{3} + \frac{2}{5} = \frac{23}{30} = 0.7\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{10}\), \(\frac{-1}{3}\), and \(\frac{2}{5}\) is \(30\). \[ \begin{aligned} \frac{7}{10} - \frac{1}{3} + \frac{2}{5} &= \frac{7 \cdot 3}{10 \cdot 3} + \frac{-1 \cdot 10}{3 \cdot 10} + \frac{2 \cdot 6}{5 \cdot 6} \\ &= \frac{21 + -10 + 12}{30} \\ &= \frac{23}{30} \end{aligned} \]