0.09% of 25% of 1200 is equal to _____

Options

A. `0.27`
B. `2.7`
C. 27
D. 270

Answer

To solve the problem "0.09% of 25% of 1200", we can break it down step by step.

### Step 1: Convert percentages to fractions
First, we need to convert the percentages into fractions:
- 0.09% can be written as \( \frac{0.09}{100} \)
- 25% can be written as \( \frac{25}{100} \)

### Step 2: Set up the expression
Now, we can express the problem mathematically:
\[ 0.09\% \text{ of } 25\% \text{ of } 1200 = \left(\frac{0.09}{100}\right) \times \left(\frac{25}{100}\right) \times 1200 \]

### Step 3: Simplify the expression
Now we can simplify the expression:
\[ = \frac{0.09 \times 25 \times 1200}{100 \times 100} \]

### Step 4: Calculate the multiplication
First, calculate \( 0.09 \times 25 \):
\[ 0.09 \times 25 = 2.25 \]
Now, multiply this result by 1200:
\[ 2.25 \times 1200 = 2700 \]

### Step 5: Divide by 10000
Now, we divide this result by \( 100 \times 100 = 10000 \):
\[ \frac{2700}{10000} = 0.27 \]

### Final Answer
Thus, \( 0.09\% \text{ of } 25\% \text{ of } 1200 \) is equal to \( 0.27 \).

---