Simplify:- 3/23 of 5/12 of 1104 = ?

Options

A. a. 70
B. b. 60
C. c. 20
D. d. none of these

Answer

To simplify the expression \( \frac{3}{23} \) of \( \frac{5}{12} \) of \( 1104 \), we can follow these steps:

### Step 1: Write the expression mathematically
We start with the expression:
\[ \frac{3}{23} \times \frac{5}{12} \times 1104 \]

### Step 2: Multiply the fractions
First, we can multiply the fractions together:
\[ \frac{3 \times 5}{23 \times 12} = \frac{15}{276} \]

### Step 3: Simplify the fraction
Next, we can simplify \( \frac{15}{276} \). We can find the greatest common divisor (GCD) of 15 and 276. The GCD is 3.
\[ \frac{15 \div 3}{276 \div 3} = \frac{5}{92} \]

### Step 4: Multiply by 1104
Now, we multiply \( \frac{5}{92} \) by 1104:
\[ \frac{5 \times 1104}{92} \]

### Step 5: Simplify \( 1104 \div 92 \)
To simplify \( \frac{1104}{92} \), we can perform the division:
\[ 1104 \div 92 = 12 \]

### Step 6: Final multiplication
Now we multiply:
\[ 5 \times 12 = 60 \]

### Final Answer
Thus, the simplified result is:
\[ \boxed{60} \]

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