Math Problem Solver

\[ \frac{6}{9} - \frac{3}{10} = \frac{11}{30} = 0.3\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{9}\) and \(\frac{-3}{10}\) is \(90\). \[ \begin{aligned} \frac{6}{9} - \frac{3}{10} &= \frac{6 \cdot 10}{9 \cdot 10} + \frac{-3 \cdot 9}{10 \cdot 9} \\ &= \frac{60 + -27}{90} \\ &= \frac{33}{90} \\&= \frac{11}{30} \end{aligned} \]