Math Problem Solver

\[ 1 + \frac{2}{1} - \frac{2}{3} = \frac{7}{3} = 2.\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{2}{1}\), and \(\frac{-2}{3}\) is \(3\). \[ \begin{aligned} 1 + \frac{2}{1} - \frac{2}{3} &= \frac{1 \cdot 3}{1 \cdot 3} + \frac{2 \cdot 3}{1 \cdot 3} + \frac{-2 \cdot 1}{3 \cdot 1} \\ &= \frac{3 + 6 + -2}{3} \\ &= \frac{7}{3} \end{aligned} \]