Math Problem Solver

$$3\frac{2}{5} + 1\frac{3}{7} = \frac{169}{35} = 4.8\overline{285714}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{3}{1}$, $\frac{2}{5}$, $\frac{1}{1}$, and $\frac{3}{7}$ is $35$. $$\begin{aligned} 3\frac{2}{5} + 1\frac{3}{7} &= \frac{3 \cdot 35}{1 \cdot 35} + \frac{2 \cdot 7}{5 \cdot 7} + \frac{1 \cdot 35}{1 \cdot 35} + \frac{3 \cdot 5}{7 \cdot 5} \\ &= \frac{105 + 14 + 35 + 15}{35} \\ &= \frac{169}{35} \end{aligned}$$