Math Problem Solver

\[ \frac{6}{7} - \frac{3}{5} = \frac{9}{35} = 0.2\overline{571428} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{7}\) and \(\frac{-3}{5}\) is \(35\). \[ \begin{aligned} \frac{6}{7} - \frac{3}{5} &= \frac{6 \cdot 5}{7 \cdot 5} + \frac{-3 \cdot 7}{5 \cdot 7} \\ &= \frac{30 + -21}{35} \\ &= \frac{9}{35} \end{aligned} \]