Question: Simplify the expression 6 ÷ 2(1+2)
1. **State the problem:** Simplify the expression $$6 \div 2(1+2)$$.
2. **Apply the order of operations (PEMDAS/BODMAS):**
- First, solve the parentheses.
- Then, perform 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:**
$$6 \div 2 = 3$$
7. **Multiply the result by 3:**
$$3 \times 3 = 9$$
**Final answer:** $$9$$