Math Problem Solver

\[ 12.075 + 8.063 = \frac{10069}{500} = 20.138 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{12}{1}\), \(\frac{75}{1000}\), \(\frac{8}{1}\), and \(\frac{63}{1000}\) is \(1000\). \[ \begin{aligned} 12.075 + 8.063 &= \frac{12 \cdot 1000}{1 \cdot 1000} + \frac{75 \cdot 1}{1000 \cdot 1} + \frac{8 \cdot 1000}{1 \cdot 1000} + \frac{63 \cdot 1}{1000 \cdot 1} \\ &= \frac{12000 + 75 + 8000 + 63}{1000} \\ &= \frac{20138}{1000} \\&= \frac{10069}{500} \end{aligned} \]