Math Problem Solver

\[ \frac{4}{7} - \frac{3}{10} = \frac{19}{70} = 0.2\overline{714285} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\) and \(\frac{-3}{10}\) is \(70\). \[ \begin{aligned} \frac{4}{7} - \frac{3}{10} &= \frac{4 \cdot 10}{7 \cdot 10} + \frac{-3 \cdot 7}{10 \cdot 7} \\ &= \frac{40 + -21}{70} \\ &= \frac{19}{70} \end{aligned} \]