Math Problem Solver

\[ \frac{4}{7} + \frac{3}{8} + \frac{1}{9} = \frac{533}{504} = 1.057\overline{539682} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\), \(\frac{3}{8}\), and \(\frac{1}{9}\) is \(504\). \[ \begin{aligned} \frac{4}{7} + \frac{3}{8} + \frac{1}{9} &= \frac{4 \cdot 72}{7 \cdot 72} + \frac{3 \cdot 63}{8 \cdot 63} + \frac{1 \cdot 56}{9 \cdot 56} \\ &= \frac{288 + 189 + 56}{504} \\ &= \frac{533}{504} \end{aligned} \]