Math Problem Solver

\[ 15.125 + 128.65 = \frac{5751}{40} = 143.775 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{15}{1}\), \(\frac{125}{1000}\), \(\frac{128}{1}\), and \(\frac{65}{100}\) is \(1000\). \[ \begin{aligned} 15.125 + 128.65 &= \frac{15 \cdot 1000}{1 \cdot 1000} + \frac{125 \cdot 1}{1000 \cdot 1} + \frac{128 \cdot 1000}{1 \cdot 1000} + \frac{65 \cdot 10}{100 \cdot 10} \\ &= \frac{15000 + 125 + 128000 + 650}{1000} \\ &= \frac{143775}{1000} \\&= \frac{5751}{40} \end{aligned} \]