Simplify: $\frac{\frac{1}{2} \div \frac{1}{2} \text{ of } \frac{1}{2}}{\frac{1}{2} + \frac{1}{2} \text{ of } \frac{1}{2}}$
Options:
- A: $\frac{8}{3}$
- B: $\frac{2}{3}$
- C: 1
- D: $\frac{4}{3}$
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