Math Problem Solver

\[ \frac{-1}{3} + \frac{4}{9} = \frac{1}{9} = 0.\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-1}{3}\) and \(\frac{4}{9}\) is \(9\). \[ \begin{aligned} \frac{-1}{3} + \frac{4}{9} &= \frac{-1 \cdot 3}{3 \cdot 3} + \frac{4 \cdot 1}{9 \cdot 1} \\ &= \frac{-3 + 4}{9} \\ &= \frac{1}{9} \end{aligned} \]