Math Problem Solver

\[ 2.5 + \frac{5}{515} = \frac{517}{206} = 2.5\overline{0970873786407766990291262135922330} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{5}{10}\), and \(\frac{5}{515}\) is \(1030\). \[ \begin{aligned} 2.5 + \frac{5}{515} &= \frac{2 \cdot 1030}{1 \cdot 1030} + \frac{5 \cdot 103}{10 \cdot 103} + \frac{5 \cdot 2}{515 \cdot 2} \\ &= \frac{2060 + 515 + 10}{1030} \\ &= \frac{2585}{1030} \\&= \frac{517}{206} \end{aligned} \]