The problem asks for the sum of $\frac{1}{3}$ and $\frac{2}{7}$.

To add these fractions, we need to find a common denominator. The least common denominator (LCD) of 3 and 7 is 21.

Steps:

1. Convert $\frac{1}{3}$ to have the denominator 21: $\frac{1}{3} = \frac{1 \times 7}{3 \times 7} = \frac{7}{21}$

2. Convert $\frac{2}{7}$ to have the denominator 21: $\frac{2}{7} = \frac{2 \times 3}{7 \times 3} = \frac{6}{21}$

3. Add the two fractions: $\frac{7}{21} + \frac{6}{21} = \frac{7 + 6}{21} = \frac{13}{21}$

Thus, the sum of $\frac{1}{3}$ and $\frac{2}{7}$ is $\frac{13}{21}$.

Would you like further details on this problem, or do you have any other questions?

Related Questions:

1. How do you subtract fractions with different denominators?
2. What is the least common denominator and how is it determined?
3. Can you multiply or divide fractions directly without finding a common denominator?
4. How do you simplify a fraction after performing addition?
5. What are some common errors to avoid when adding fractions?

Tip:

When adding or subtracting fractions, always check if the result can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator.