Math Problem Solver

\[ 2\frac{5}{10} + 5\frac{3}{5} = \frac{81}{10} = 8.1 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{5}{10}\), \(\frac{5}{1}\), and \(\frac{3}{5}\) is \(10\). \[ \begin{aligned} 2\frac{5}{10} + 5\frac{3}{5} &= \frac{2 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 1}{10 \cdot 1} + \frac{5 \cdot 10}{1 \cdot 10} + \frac{3 \cdot 2}{5 \cdot 2} \\ &= \frac{20 + 5 + 50 + 6}{10} \\ &= \frac{81}{10} \end{aligned} \]