Math Problem Solver

$$\frac{1}{1} + \frac{2}{3} + \frac{3}{5} = \frac{34}{15} = 2.2\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{1}$, $\frac{2}{3}$, and $\frac{3}{5}$ is $15$. $$\begin{aligned} \frac{1}{1} + \frac{2}{3} + \frac{3}{5} &= \frac{1 \cdot 15}{1 \cdot 15} + \frac{2 \cdot 5}{3 \cdot 5} + \frac{3 \cdot 3}{5 \cdot 3} \\ &= \frac{15 + 10 + 9}{15} \\ &= \frac{34}{15} \end{aligned}$$