Answer:
To find the Least Common Denominator (LCD) of the fractions \(\frac{1}{2}\) and \(\frac{2}{7}\), you need to determine the least common multiple (LCM) of the denominators 2 and 7.
1. **List the multiples of each denominator**:
- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...
- Multiples of 7: 7, 14, 21, 28, 35, ...
2. **Find the smallest multiple that is common to both lists**:
- The smallest common multiple is 14.
**Therefore, the Least Common Denominator (LCD) of \(\frac{1}{2}\) and \(\frac{2}{7}\) is 14.**