What value will come in place of question mark(?) in the question
7 . 54`div` 13 -19 .24+ 18.6 = ?

Options

A. 4.26
B. 5.16
C. 6.18
D. 4.01

Answer

To solve the expression \( 7.54 \div 13 - 19.24 + 18.6 = ? \), we will follow the order of operations (BODMAS/BIDMAS rules), which states that we should perform division first, followed by addition and subtraction.

### Step-by-Step Solution:

1. **Perform the Division**:
\[ 7.54 \div 13 \]
To divide \( 7.54 \) by \( 13 \), we can convert \( 7.54 \) into a fraction:
\[ 7.54 = \frac{754}{100} \]
Now, perform the division:
\[ \frac{754}{100} \div 13 = \frac{754}{100 \times 13} = \frac{754}{1300} \]
Now, calculate \( 754 \div 13 \):
- \( 13 \times 5 = 65 \) (which is \( 65 \) from \( 754 \))
- Subtract \( 65 \) from \( 75 \) to get \( 10 \).
- Bring down \( 4 \) to make \( 104 \).
- \( 13 \times 8 = 104 \) (which fits perfectly).
Thus, \( 7.54 \div 13 = 0.58 \).

2. **Substitute the Result into the Expression**:
Now we substitute \( 0.58 \) back into the expression:
\[ 0.58 - 19.24 + 18.6 \]

3. **Perform the Addition**:
First, add \( 18.6 \) and \( 0.58 \):
\[ 0.58 + 18.6 = 19.18 \]

4. **Perform the Subtraction**:
Now, subtract \( 19.24 \) from \( 19.18 \):
\[ 19.18 - 19.24 \]
Since both numbers have the same integer part (19), we can subtract the decimal parts:
\[ 0.18 - 0.24 = -0.06 \]

5. **Final Result**:
Therefore, the value that comes in place of the question mark is:
\[ ? = -0.06 \]

### Summary:
The final answer is:
\[ ? = -0.06 \]