Math Problem Solver

\[ 2 - \frac{2}{3} = \frac{4}{3} = 1.\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\) and \(\frac{-2}{3}\) is \(3\). \[ \begin{aligned} 2 - \frac{2}{3} &= \frac{2 \cdot 3}{1 \cdot 3} + \frac{-2 \cdot 1}{3 \cdot 1} \\ &= \frac{6 + -2}{3} \\ &= \frac{4}{3} \end{aligned} \]