Simplify : `17 - 4.5 div 9 + 1.3 xx 0.6 + 0.4`

Options

A. A) 17.86
B. B) 16.78
C. C) 16.68
D. D) 17.68

Answer

To simplify the expression `17 - 4.5 div 9 + 1.3 xx 0.6 + 0.4`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

### Step-by-Step Solution:

1. **Identify the operations**: The expression consists of subtraction, division, multiplication, and addition.

Expression: `17 - 4.5 div 9 + 1.3 xx 0.6 + 0.4`

2. **Perform the division**:
- Calculate `4.5 div 9`.
- \( 4.5 \div 9 = 0.5 \)

Now the expression becomes:
\[ 17 - 0.5 + 1.3 \times 0.6 + 0.4 \]

3. **Perform the multiplication**:
- Calculate `1.3 xx 0.6`.
- \( 1.3 \times 0.6 = 0.78 \)

Now the expression becomes:
\[ 17 - 0.5 + 0.78 + 0.4 \]

4. **Perform the addition and subtraction from left to right**:
- First, calculate \( 17 - 0.5 \):
\[ 17 - 0.5 = 16.5 \]
- Now add \( 0.78 \):
\[ 16.5 + 0.78 = 17.28 \]
- Finally, add \( 0.4 \):
\[ 17.28 + 0.4 = 17.68 \]

5. **Final result**:
The simplified expression is:
\[ \boxed{17.68} \]