Math Problem Solver

\[ \frac{2}{3} - \frac{5}{5} = - \frac{1}{3} = -0.\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{-5}{5}\) is \(15\). \[ \begin{aligned} \frac{2}{3} - \frac{5}{5} &= \frac{2 \cdot 5}{3 \cdot 5} + \frac{-5 \cdot 3}{5 \cdot 3} \\ &= \frac{10 + -15}{15} \\ &= \frac{-5}{15} \\&= - \frac{1}{3} \end{aligned} \]