Simplify:- 8 * 9 * 12 ÷ 18 = ?

Options

A. a. 92
B. b. 82
C. c. 56
D. d. 48

Answer

To simplify the expression \( 8 \times 9 \times 12 \div 18 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ 8 \times 9 \times 12 \div 18 \]
This can be rewritten as:
\[ 8 \times 9 \times 12 \times \frac{1}{18} \]

### Step 2: Change division to multiplication
Instead of dividing by 18, we can multiply by the reciprocal:
\[ 8 \times 9 \times 12 \times \frac{1}{18} = 8 \times 9 \times 12 \times \frac{1}{18} \]

### Step 3: Simplify the multiplication
Now, we can simplify the expression step by step. First, we can simplify \( 9 \div 18 \):
\[ 9 \div 18 = \frac{1}{2} \]
So, we can replace \( 9 \) with \( \frac{1}{2} \):
\[ 8 \times \frac{1}{2} \times 12 \]

### Step 4: Calculate \( 8 \times \frac{1}{2} \)
Calculating \( 8 \times \frac{1}{2} \):
\[ 8 \times \frac{1}{2} = 4 \]
Now, we have:
\[ 4 \times 12 \]

### Step 5: Multiply the remaining numbers
Now, we multiply \( 4 \) by \( 12 \):
\[ 4 \times 12 = 48 \]

### Final Answer
Thus, the simplified value of the expression \( 8 \times 9 \times 12 \div 18 \) is:
\[ \boxed{48} \]