Math Problem Solver

\[ 101.8 + 76.2 = 178 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{101}{1}\), \(\frac{8}{10}\), \(\frac{76}{1}\), and \(\frac{2}{10}\) is \(10\). \[ \begin{aligned} 101.8 + 76.2 &= \frac{101 \cdot 10}{1 \cdot 10} + \frac{8 \cdot 1}{10 \cdot 1} + \frac{76 \cdot 10}{1 \cdot 10} + \frac{2 \cdot 1}{10 \cdot 1} \\ &= \frac{1010 + 8 + 760 + 2}{10} \\ &= \frac{1780}{10} \\&= 178 \end{aligned} \]