To simplify the expression `18 - 6 ÷ 2 × 3`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).
### Step-by-Step Solution:
1. **Identify the expression**:
We start with the expression:
\[
18 - 6 ÷ 2 × 3
\]
2. **Perform Division**:
According to BODMAS, we first perform the division.
\[
6 ÷ 2 = 3
\]
Now, substitute this back into the expression:
\[
18 - 3 × 3
\]
3. **Perform Multiplication**:
Next, we perform the multiplication:
\[
3 × 3 = 9
\]
Substitute this back into the expression:
\[
18 - 9
\]
4. **Perform Subtraction**:
Finally, we perform the subtraction:
\[
18 - 9 = 9
\]
5. **Final Result**:
Thus, the simplified result of the expression is:
\[
\boxed{9}
\]
