1. **State the problem:** Simplify the expression $$\frac{2}{3} + \frac{3}{6} - \frac{64}{4}$$. 2. **Find a common denominator:** The denominators are 3, 6, and 4. The least common denominator (LCD) is 12. 3. **Convert each fraction to have denominator 12:** $$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$ $$\frac{3}{6} = \frac{3 \times 2}{6 \times 2} = \frac{6}{12}$$ $$\frac{64}{4} = \frac{64 \times 3}{4 \times 3} = \frac{192}{12}$$ 4. **Rewrite the expression:** $$\frac{8}{12} + \frac{6}{12} - \frac{192}{12}$$ 5. **Combine the numerators:** $$\frac{8 + 6 - 192}{12} = \frac{-178}{12}$$ 6. **Simplify the fraction:** The numerator and denominator share a common factor 2. $$\frac{\cancel{2} \times -89}{\cancel{2} \times 6} = \frac{-89}{6}$$ 7. **Final answer:** $$\boxed{\frac{-89}{6}}$$