Math Problem Solver

\[ 25.109 + 14.39 + 4.978 = \frac{44477}{1000} = 44.477 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{25}{1}\), \(\frac{109}{1000}\), \(\frac{14}{1}\), \(\frac{39}{100}\), \(\frac{4}{1}\), and \(\frac{978}{1000}\) is \(1000\). \[ \begin{aligned} 25.109 + 14.39 + 4.978 &= \frac{25 \cdot 1000}{1 \cdot 1000} + \frac{109 \cdot 1}{1000 \cdot 1} + \frac{14 \cdot 1000}{1 \cdot 1000} + \frac{39 \cdot 10}{100 \cdot 10} + \frac{4 \cdot 1000}{1 \cdot 1000} + \frac{978 \cdot 1}{1000 \cdot 1} \\ &= \frac{25000 + 109 + 14000 + 390 + 4000 + 978}{1000} \\ &= \frac{44477}{1000} \end{aligned} \]