1. **State the problem:** Simplify the expression $$\frac{1}{2 - \frac{1}{3}}$$. 2. **Recall the rule:** To simplify a complex fraction, first simplify the denominator. 3. **Simplify the denominator:** $$2 - \frac{1}{3} = \frac{6}{3} - \frac{1}{3} = \frac{6 - 1}{3} = \frac{5}{3}$$ 4. **Rewrite the original expression:** $$\frac{1}{\frac{5}{3}}$$ 5. **Divide by a fraction by multiplying by its reciprocal:** $$1 \times \frac{3}{5} = \frac{3}{5}$$ 6. **Final answer:** $$\boxed{\frac{3}{5}}$$