Math Problem Solver

\[ 14.68 + 297.9 + 7.897 = \frac{320477}{1000} = 320.477 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{14}{1}\), \(\frac{68}{100}\), \(\frac{297}{1}\), \(\frac{9}{10}\), \(\frac{7}{1}\), and \(\frac{897}{1000}\) is \(1000\). \[ \begin{aligned} 14.68 + 297.9 + 7.897 &= \frac{14 \cdot 1000}{1 \cdot 1000} + \frac{68 \cdot 10}{100 \cdot 10} + \frac{297 \cdot 1000}{1 \cdot 1000} + \frac{9 \cdot 100}{10 \cdot 100} + \frac{7 \cdot 1000}{1 \cdot 1000} + \frac{897 \cdot 1}{1000 \cdot 1} \\ &= \frac{14000 + 680 + 297000 + 900 + 7000 + 897}{1000} \\ &= \frac{320477}{1000} \end{aligned} \]