The problem is to evaluate the mathematical expression $6 \div 2(1+2)$. The order of operations (PEMDAS/BODMAS) must be followed.

1. Problem Description

The problem is to evaluate the mathematical expression $6 \div 2(1+2)$. The order of operations (PEMDAS/BODMAS) must be followed.

2. Solution Steps

First, we evaluate the expression inside the parentheses:

$1 + 2 = 3$.

So the expression becomes:

$6 \div 2(3)$.

Next, we perform multiplication and division from left to right.

$6 \div 2 = 3$.

So the expression becomes:

$3(3)$.

Finally, we perform the multiplication:

$3 \times 3 = 9$.

3. Final Answer

The final answer is 9.