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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.

Learn how to add the fractions 1/3 and 2/7 by finding a common denominator. This step-by-step guide covers the key concepts of fractions, including the least common denominator and addition of fractions, making it suitable for students in Grades 5-7.

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