The value of `48div[5+{19-(16-16div4xx3" of "2)}]` is :

Options

A. `3/4`
B. `3/2`
C. `2/3`
D. `1/2`

Answer

To solve the expression \( 48 \div [5 + \{19 - (16 - 16 \div 4 \times 3 \text{ of } 2)\}]\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

### Step-by-Step Solution:

1. **Identify the innermost operation**:
- Start with the expression inside the innermost parentheses: \( 16 - 16 \div 4 \times 3 \text{ of } 2 \).

2. **Perform the division**:
- Calculate \( 16 \div 4 = 4 \).

3. **Substitute back into the expression**:
- Now the expression becomes \( 16 - 4 \times 3 \text{ of } 2 \).

4. **Perform the multiplication**:
- Calculate \( 4 \times 3 = 12 \).

5. **Substitute back**:
- Now we have \( 16 - 12 \).

6. **Perform the subtraction**:
- Calculate \( 16 - 12 = 4 \).

7. **Substitute back into the main expression**:
- Now the expression simplifies to \( 48 \div [5 + \{19 - 4\}] \).

8. **Calculate the expression inside the brackets**:
- Calculate \( 19 - 4 = 15 \).

9. **Substitute back**:
- Now we have \( 48 \div [5 + 15] \).

10. **Perform the addition**:
- Calculate \( 5 + 15 = 20 \).

11. **Substitute back into the main expression**:
- Now the expression simplifies to \( 48 \div 20 \).

12. **Perform the division**:
- Calculate \( 48 \div 20 = \frac{48}{20} = \frac{12}{5} = 2.4 \).

### Final Answer:
The value of the expression is \( \frac{12}{5} \) or \( 2.4 \).