Math Problem Solver

\[ \frac{4}{7} + \frac{7}{4} = \frac{65}{28} = 2.32\overline{142857} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\) and \(\frac{7}{4}\) is \(28\). \[ \begin{aligned} \frac{4}{7} + \frac{7}{4} &= \frac{4 \cdot 4}{7 \cdot 4} + \frac{7 \cdot 7}{4 \cdot 7} \\ &= \frac{16 + 49}{28} \\ &= \frac{65}{28} \end{aligned} \]