Math Problem Solver

\[ 19.9 + 5.5 = \frac{127}{5} = 25.4 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{19}{1}\), \(\frac{9}{10}\), \(\frac{5}{1}\), and \(\frac{5}{10}\) is \(10\). \[ \begin{aligned} 19.9 + 5.5 &= \frac{19 \cdot 10}{1 \cdot 10} + \frac{9 \cdot 1}{10 \cdot 1} + \frac{5 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 1}{10 \cdot 1} \\ &= \frac{190 + 9 + 50 + 5}{10} \\ &= \frac{254}{10} \\&= \frac{127}{5} \end{aligned} \]