1. **State the problem:** Simplify the algebraic fraction $$\frac{6x + 8}{2}$$. 2. **Formula and rules:** To simplify a fraction, factor the numerator and denominator and cancel common factors. 3. **Factor the numerator:** $$6x + 8 = 2(3x + 4)$$. 4. **Rewrite the fraction:** $$\frac{6x + 8}{2} = \frac{2(3x + 4)}{2}$$. 5. **Cancel the common factor 2:** $$\frac{\cancel{2}(3x + 4)}{\cancel{2}} = 3x + 4$$. 6. **Final answer:** The simplified form of the fraction is $$3x + 4$$.