Math Problem Solver

\[ \frac{2}{3} - 7 = - \frac{19}{3} = -6.\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{-7}{1}\) is \(3\). \[ \begin{aligned} \frac{2}{3} - 7 &= \frac{2 \cdot 1}{3 \cdot 1} + \frac{-7 \cdot 3}{1 \cdot 3} \\ &= \frac{2 + -21}{3} \\ &= \frac{-19}{3} \end{aligned} \]