1. **State the problem:** Simplify the expression $6 - 6 \times \frac{1}{3}$. 2. **Recall the order of operations:** Multiplication and division are performed before addition and subtraction. 3. **Calculate the multiplication first:** $$6 \times \frac{1}{3} = 2$$ 4. **Substitute back into the expression:** $$6 - 2$$ 5. **Perform the subtraction:** $$6 - 2 = 4$$ **Final answer:** $4$