Math Problem Solver

$$1 + 1 + 7 + 2 + 8 + 39 + 57 + \frac{9769}{36743782} + 2 = \frac{4299032263}{36743782} \approx 117.00026586811341303951781555856172$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{1}$, $\frac{1}{1}$, $\frac{7}{1}$, $\frac{2}{1}$, $\frac{8}{1}$, $\frac{39}{1}$, $\frac{57}{1}$, $\frac{9769}{36743782}$, and $\frac{2}{1}$ is $36743782$. $$\begin{aligned} 1 + 1 + 7 + 2 + 8 + 39 + 57 + \frac{9769}{36743782} + 2 &= \frac{1 \cdot 36743782}{1 \cdot 36743782} + \frac{1 \cdot 36743782}{1 \cdot 36743782} + \frac{7 \cdot 36743782}{1 \cdot 36743782} + \frac{2 \cdot 36743782}{1 \cdot 36743782} + \frac{8 \cdot 36743782}{1 \cdot 36743782} + \frac{39 \cdot 36743782}{1 \cdot 36743782} + \frac{57 \cdot 36743782}{1 \cdot 36743782} + \frac{9769 \cdot 1}{36743782 \cdot 1} + \frac{2 \cdot 36743782}{1 \cdot 36743782} \\ &= \frac{36743782 + 36743782 + 257206474 + 73487564 + 293950256 + 1433007498 + 2094395574 + 9769 + 73487564}{36743782} \\ &= \frac{4299032263}{36743782} \end{aligned}$$