Math Problem Solver

\[ \frac{2}{3} - \frac{1}{7} = \frac{11}{21} = 0.\overline{523809} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{-1}{7}\) is \(21\). \[ \begin{aligned} \frac{2}{3} - \frac{1}{7} &= \frac{2 \cdot 7}{3 \cdot 7} + \frac{-1 \cdot 3}{7 \cdot 3} \\ &= \frac{14 + -3}{21} \\ &= \frac{11}{21} \end{aligned} \]