Simplify : `120 + "3 of 5" div [7 xx 2 {10 div 5(24 - 10 xx 2 + bar(7 + 3 xx 10 div 5))}]`

Options

A. 120.03
B. 116.04
C. 118
D. 125

Answer

To simplify the expression `120 + "3 of 5" div [7 xx 2 {10 div 5(24 - 10 xx 2 + bar(7 + 3 xx 10 div 5))}]`, we will follow the order of operations (BODMAS/BIDMAS rules).

### Step-by-step Solution:

1. **Identify "3 of 5":**
- "3 of 5" means \( \frac{3}{5} \).

2. **Calculate the inner expression:**
- Start with the expression inside the brackets:
\[ 7 \times 2 \{ 10 \div 5(24 - 10 \times 2 + \text{bar}(7 + 3 \times 10 \div 5)) \} \]

3. **Calculate \( 10 \div 5 \):**
- \( 10 \div 5 = 2 \).

4. **Calculate \( 3 \times 10 \div 5 \):**
- \( 3 \times 10 = 30 \) and \( 30 \div 5 = 6 \).

5. **Calculate the expression inside the bar:**
- \( 7 + 6 = 13 \).

6. **Calculate \( 24 - 10 \times 2 + 13 \):**
- First, calculate \( 10 \times 2 = 20 \).
- Then, \( 24 - 20 + 13 = 24 - 20 + 13 = 17 \).

7. **Now substitute back into the expression:**
- The expression now looks like:
\[ 7 \times 2 \times (2 \times 17) \]

8. **Calculate \( 7 \times 2 = 14 \):**
- Then calculate \( 2 \times 17 = 34 \).

9. **Now calculate \( 14 \times 34 \):**
- \( 14 \times 34 = 476 \).

10. **Now substitute back into the main expression:**
- The expression now looks like:
\[ 120 + \frac{3}{5} \div 476 \]

11. **Calculate \( \frac{3}{5} \div 476 \):**
- This is the same as \( \frac{3}{5} \times \frac{1}{476} = \frac{3}{2380} \).

12. **Convert \( \frac{3}{2380} \) to decimal:**
- \( 3 \div 2380 \approx 0.00126 \).

13. **Finally, add this to 120:**
- \( 120 + 0.00126 \approx 120.00126 \).

### Final Answer:
The simplified result is approximately \( 120.00126 \).