Math Problem Solver

\[ \frac{-3}{11} + \frac{5}{9} = \frac{28}{99} = 0.\overline{28} \]

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 \(99\). \[ \begin{aligned} \frac{-3}{11} + \frac{5}{9} &= \frac{-3 \cdot 9}{11 \cdot 9} + \frac{5 \cdot 11}{9 \cdot 11} \\ &= \frac{-27 + 55}{99} \\ &= \frac{28}{99} \end{aligned} \]