Math Problem Solver

\[ \frac{-3}{-11} + \frac{5}{9} = \frac{82}{99} = 0.\overline{82} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-3}{-11}\) and \(\frac{5}{9}\) is \(99\). \[ \begin{aligned} \frac{-3}{-11} + \frac{5}{9} &= \frac{-3 \cdot -9}{-11 \cdot -9} + \frac{5 \cdot 11}{9 \cdot 11} \\ &= \frac{27 + 55}{99} \\ &= \frac{82}{99} \end{aligned} \]