To find the sum of \( \frac{1}{7} \) and \( \frac{3}{14} \), we need to add these fractions. Here are the steps:

1. **Find a common denominator**:
   - The denominators are 7 and 14. The least common multiple (LCM) of 7 and 14 is 14.

2. **Convert \( \frac{1}{7} \) to a fraction with a denominator of 14**:
   - Multiply both the numerator and the denominator of \( \frac{1}{7} \) by 2:
     \[
     \frac{1}{7} = \frac{1 \times 2}{7 \times 2} = \frac{2}{14}
     \]

3. **Add the fractions**:
   - Now, add \( \frac{2}{14} \) and \( \frac{3}{14} \):
     \[
     \frac{2}{14} + \frac{3}{14} = \frac{2 + 3}{14} = \frac{5}{14}
     \]

Therefore, \( \frac{1}{7} + \frac{3}{14} = \frac{5}{14} \).

### Do you want details or have any questions?

### Additional Questions:
1. How do you add fractions with different denominators?
2. What are some methods for finding the least common multiple of two numbers?
3. Can you subtract \( \frac{1}{7} \) from \( \frac{3}{14} \) instead of adding?
4. How do you simplify a fraction to its lowest terms?
5. What happens if you add three or more fractions together?

**Tip:** Always convert fractions to have a common denominator before performing addition or subtraction. This helps simplify the process and ensure accuracy.

Learn how to add fractions 1/7 and 3/14 step-by-step. Find a common denominator, convert fractions, and perform addition. Suitable for students in Grades 5-6.

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