Math Problem Solver

\[ \frac{5}{7} - \frac{3}{9} = \frac{8}{21} = 0.\overline{380952} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{7}\) and \(\frac{-3}{9}\) is \(63\). \[ \begin{aligned} \frac{5}{7} - \frac{3}{9} &= \frac{5 \cdot 9}{7 \cdot 9} + \frac{-3 \cdot 7}{9 \cdot 7} \\ &= \frac{45 + -21}{63} \\ &= \frac{24}{63} \\&= \frac{8}{21} \end{aligned} \]