Math Problem Solver

\[ 4\frac{1}{2} + 6\frac{1}{5} = \frac{107}{10} = 10.7 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{1}{2}\), \(\frac{6}{1}\), and \(\frac{1}{5}\) is \(10\). \[ \begin{aligned} 4\frac{1}{2} + 6\frac{1}{5} &= \frac{4 \cdot 10}{1 \cdot 10} + \frac{1 \cdot 5}{2 \cdot 5} + \frac{6 \cdot 10}{1 \cdot 10} + \frac{1 \cdot 2}{5 \cdot 2} \\ &= \frac{40 + 5 + 60 + 2}{10} \\ &= \frac{107}{10} \end{aligned} \]