We are asked to find the sum of two fractions: $\frac{3}{7}$ and $\frac{5}{13}$.

1. Problem Description

We are asked to find the sum of two fractions: $\frac{3}{7}$ and $\frac{5}{13}$.

2. Solution Steps

To add two fractions, we need to find a common denominator.

The least common multiple of 7 and 13 is $7 \times 13 = 91$, since 7 and 13 are both prime numbers.

We rewrite the fractions with the common denominator 91:

$\frac{3}{7} = \frac{3 \times 13}{7 \times 13} = \frac{39}{91}$

$\frac{5}{13} = \frac{5 \times 7}{13 \times 7} = \frac{35}{91}$

Now we can add the fractions:

$\frac{3}{7} + \frac{5}{13} = \frac{39}{91} + \frac{35}{91} = \frac{39 + 35}{91} = \frac{74}{91}$

3. Final Answer

$\frac{74}{91}$