Math Problem Solver

\[ \frac{2}{8} - \frac{4}{116} = \frac{25}{116} = 0.21\overline{5517241379310344827586206896} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{8}\) and \(\frac{-4}{116}\) is \(232\). \[ \begin{aligned} \frac{2}{8} - \frac{4}{116} &= \frac{2 \cdot 29}{8 \cdot 29} + \frac{-4 \cdot 2}{116 \cdot 2} \\ &= \frac{58 + -8}{232} \\ &= \frac{50}{232} \\&= \frac{25}{116} \end{aligned} \]