Simplify : `15-{8+27divide(2xx8-7)}`

Answer

To simplify the expression \( 15 - \{ 8 + \frac{27}{(2 \times 8 - 7)} \} \), we will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction). Let's break it down step by step.

### Step-by-Step Solution:

1. **Identify the Bracket**: Start with the expression inside the curly brackets: \( 8 + \frac{27}{(2 \times 8 - 7)} \).

2. **Solve the Inner Bracket**: Calculate \( 2 \times 8 - 7 \).
- First, perform the multiplication: \( 2 \times 8 = 16 \).
- Then, subtract 7: \( 16 - 7 = 9 \).
- Now, we have \( 8 + \frac{27}{9} \).

3. **Perform the Division**: Now, calculate \( \frac{27}{9} \).
- \( \frac{27}{9} = 3 \).
- So now, the expression inside the curly brackets becomes \( 8 + 3 \).

4. **Perform the Addition**: Now, add \( 8 + 3 \).
- \( 8 + 3 = 11 \).
- Now, we have \( 15 - 11 \).

5. **Perform the Subtraction**: Finally, subtract \( 15 - 11 \).
- \( 15 - 11 = 4 \).

### Final Answer:
The simplified value of the expression is \( 4 \).