1. **State the problem:** Simplify the expression $$\frac{4b}{8}$$. 2. **Formula and rules:** To simplify a fraction, divide numerator and denominator by their greatest common divisor (GCD). 3. **Find the GCD of 4 and 8:** The GCD is 4. 4. **Divide numerator and denominator by 4:** $$\frac{\cancel{4}b}{\cancel{8}} = \frac{1b}{2} = \frac{b}{2}$$ 5. **Final answer:** The simplified form of $$\frac{4b}{8}$$ is $$\frac{b}{2}$$.