Math Problem Solver

\[ 3.14 + 6.90 = \frac{251}{25} = 10.04 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{14}{100}\), \(\frac{6}{1}\), and \(\frac{9}{10}\) is \(100\). \[ \begin{aligned} 3.14 + 6.90 &= \frac{3 \cdot 100}{1 \cdot 100} + \frac{14 \cdot 1}{100 \cdot 1} + \frac{6 \cdot 100}{1 \cdot 100} + \frac{9 \cdot 10}{10 \cdot 10} \\ &= \frac{300 + 14 + 600 + 90}{100} \\ &= \frac{1004}{100} \\&= \frac{251}{25} \end{aligned} \]