Math Problem Solver

\[ \frac{4}{11} - \frac{2}{7} = \frac{6}{77} = 0.\overline{077922} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{11}\) and \(\frac{-2}{7}\) is \(77\). \[ \begin{aligned} \frac{4}{11} - \frac{2}{7} &= \frac{4 \cdot 7}{11 \cdot 7} + \frac{-2 \cdot 11}{7 \cdot 11} \\ &= \frac{28 + -22}{77} \\ &= \frac{6}{77} \end{aligned} \]