Math Problem Solver

\[ \frac{32}{1009} + \frac{344}{1009} + \frac{706}{2018} = \frac{729}{1009} \approx 0.72249752229930624380574826560951 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{32}{1009}\), \(\frac{344}{1009}\), and \(\frac{706}{2018}\) is \(2018\). \[ \begin{aligned} \frac{32}{1009} + \frac{344}{1009} + \frac{706}{2018} &= \frac{32 \cdot 2}{1009 \cdot 2} + \frac{344 \cdot 2}{1009 \cdot 2} + \frac{706 \cdot 1}{2018 \cdot 1} \\ &= \frac{64 + 688 + 706}{2018} \\ &= \frac{1458}{2018} \\&= \frac{729}{1009} \end{aligned} \]