Math Problem Solver

\[ \frac{4}{7} - \frac{2}{6} = \frac{5}{21} = 0.\overline{238095} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\) and \(\frac{-2}{6}\) is \(42\). \[ \begin{aligned} \frac{4}{7} - \frac{2}{6} &= \frac{4 \cdot 6}{7 \cdot 6} + \frac{-2 \cdot 7}{6 \cdot 7} \\ &= \frac{24 + -14}{42} \\ &= \frac{10}{42} \\&= \frac{5}{21} \end{aligned} \]