1. **State the problem:** Simplify the expression $$6 \div 2(1+2)$$. 2. **Apply the order of operations (PEMDAS/BODMAS):** - Parentheses first - Exponents (none here) - Multiplication and Division from left to right 3. **Calculate inside the parentheses:** $$1+2=3$$ 4. **Rewrite the expression:** $$6 \div 2(3)$$ 5. **Interpret multiplication next to parentheses as multiplication:** $$6 \div 2 \times 3$$ 6. **Perform division and multiplication from left to right:** $$6 \div 2 = \cancel{6 \div 2} = 3$$ 7. **Multiply the result by 3:** $$3 \times 3 = 9$$ **Final answer:** $$9$$