1. **State the problem:** Simplify the expression $$\frac{320yx}{20x^{2}yx}$$. 2. **Write the formula and rules:** When simplifying fractions, divide numerator and denominator by their common factors. 3. **Identify common factors:** The numerator is $$320yx$$ and the denominator is $$20x^{2}yx$$. 4. **Cancel common factors:** Both numerator and denominator have factors 20, y, and x. $$\frac{\cancel{20} \cdot 16 \cdot \cancel{y} \cdot \cancel{x}}{\cancel{20} \cdot x \cdot \cancel{y} \cdot \cancel{x} \cdot x} = \frac{16}{x}$$ 5. **Explain simplification:** We divided numerator and denominator by 20, y, and one x, leaving 16 in numerator and one x in denominator. 6. **Final answer:** $$\boxed{\frac{16}{x}}$$