Math Problem Solver

\[ \frac{2}{3} - \frac{43}{30} = - \frac{23}{30} = -0.7\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{-43}{30}\) is \(30\). \[ \begin{aligned} \frac{2}{3} - \frac{43}{30} &= \frac{2 \cdot 10}{3 \cdot 10} + \frac{-43 \cdot 1}{30 \cdot 1} \\ &= \frac{20 + -43}{30} \\ &= \frac{-23}{30} \end{aligned} \]