To simplify the expression \( 15 + 24 \div 3 - 1 \times 6 \), we will follow the BODMAS rule, which stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. This rule helps us determine the order in which we should perform operations.
### Step-by-Step Solution:
1. **Identify the operations**: The expression contains addition (+), division (÷), multiplication (×), and subtraction (−). According to BODMAS, we need to perform division and multiplication before addition and subtraction.
2. **Perform the division**:
\[
24 \div 3 = 8
\]
Now, substitute this back into the expression:
\[
15 + 8 - 1 \times 6
\]
3. **Perform the multiplication**:
\[
1 \times 6 = 6
\]
Substitute this back into the expression:
\[
15 + 8 - 6
\]
4. **Perform the addition**:
\[
15 + 8 = 23
\]
Substitute this back into the expression:
\[
23 - 6
\]
5. **Perform the subtraction**:
\[
23 - 6 = 17
\]
Thus, the simplified result of the expression \( 15 + 24 \div 3 - 1 \times 6 \) is \( 17 \).
