`54-:3` of `6+9=` ?

Options

A. `117`
B. `12`
C. `(6)/(5)`
D. none of these

Answer

To solve the expression \(54 \div 3 \text{ of } (6 + 9)\), we will follow the steps of simplification using the order of operations (BODMAS/BIDMAS).

### Step-by-step Solution:

1. **Identify the expression**:
The expression is \(54 \div 3 \text{ of } (6 + 9)\).

2. **Calculate the value inside the parentheses**:
\[ 6 + 9 = 15 \]
So, the expression now becomes:
\[ 54 \div 3 \text{ of } 15 \]

3. **Understand the term "of"**:
In mathematical terms, "of" indicates multiplication. Therefore, we rewrite the expression:
\[ 54 \div 3 \times 15 \]

4. **Perform the division first**:
\[ 54 \div 3 = 18 \]
Now the expression is:
\[ 18 \times 15 \]

5. **Perform the multiplication**:
\[ 18 \times 15 = 270 \]

### Final Answer:
The final answer is \(270\).