Solution:
To solve this problem, we will need to use the "BODMAS".
Solving the expression:

First, simplify the expression inside the brackets.
![\bullet \rightarrow 6 / 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}]](https://img.qammunity.org/2023/formulas/mathematics/high-school/hc1hret5avt02bu1pqpu6dx6n38nohsxen.png)
Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.

According to the BODMAS, division first.
![\bullet \rightarrow 3 * 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}]](https://img.qammunity.org/2023/formulas/mathematics/high-school/5shmg2ri0cd27dwxbxpn8ri0k7622qpehf.png)
According to the BODMAS, multiplication next.
![\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}]](https://img.qammunity.org/2023/formulas/mathematics/high-school/vact55fmz4x1oil2x3e5apwt1aj1nz755h.png)
Thus, the solution to 6 ÷ 2(1 + 2) is 9.