`13-(12-6-:3)=`?

Options

A. `11`
B. `3`
C. `(7)/(3)`
D. none of these

Answer

To solve the expression \( 13 - (12 - 6 \div 3) \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 13 - (12 - 6 \div 3) \]

2. **Solve the division inside the bracket first**:
\[ 6 \div 3 = 2 \]
So, we can rewrite the expression as:
\[ 13 - (12 - 2) \]

**Hint**: Always perform division before subtraction when dealing with operations inside brackets.

3. **Now, simplify the expression inside the brackets**:
\[ 12 - 2 = 10 \]
Now the expression becomes:
\[ 13 - 10 \]

**Hint**: After solving the division, focus on simplifying the subtraction inside the brackets.

4. **Finally, perform the subtraction**:
\[ 13 - 10 = 3 \]

**Hint**: After simplifying the brackets, perform the final subtraction to get the answer.

### Final Answer:
\[ \text{The answer is } 3. \]