Math Problem Solver

\[ 1 - \frac{1}{113} = \frac{112}{113} = 0.\overline{9911504424778761061946902654867256637168141592920353982300884955752212389380530973451327433628318584070796460176} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\) and \(\frac{-1}{113}\) is \(113\). \[ \begin{aligned} 1 - \frac{1}{113} &= \frac{1 \cdot 113}{1 \cdot 113} + \frac{-1 \cdot 1}{113 \cdot 1} \\ &= \frac{113 + -1}{113} \\ &= \frac{112}{113} \end{aligned} \]