`(0.3555 xx 0.5555 xx 2.025)/(0.225 xx 1.7775 xx 0.2222)` is equal to :

Options

A. 5.4
B. 4.58
C. 4.5
D. 5.45

Answer

To solve the expression \((0.3555 \times 0.5555 \times 2.025) / (0.225 \times 1.7775 \times 0.2222)\), we can follow these steps:

### Step 1: Rewrite the Expression
We can rewrite the expression in a more manageable form:
\[ \frac{0.3555 \times 0.5555 \times 2.025}{0.225 \times 1.7775 \times 0.2222} \]

### Step 2: Convert to Fraction Form
To simplify calculations, we can express each decimal as a fraction:
- \(0.3555 = \frac{3555}{10000}\)
- \(0.5555 = \frac{5555}{10000}\)
- \(2.025 = \frac{2025}{1000}\)
- \(0.225 = \frac{225}{1000}\)
- \(1.7775 = \frac{17775}{10000}\)
- \(0.2222 = \frac{2222}{10000}\)

So, the expression becomes:
\[ \frac{\left(\frac{3555}{10000} \times \frac{5555}{10000} \times \frac{2025}{1000}\right)}{\left(\frac{225}{1000} \times \frac{17775}{10000} \times \frac{2222}{10000}\right)} \]

### Step 3: Simplify the Fractions
Now, we can simplify the fractions:
\[ = \frac{3555 \times 5555 \times 2025}{225 \times 17775 \times 2222} \times \frac{1}{10000 \times 10000 \times 1000} \div \frac{1}{1000 \times 10000 \times 10000} \]

### Step 4: Cancel Out Common Factors
We can cancel out the common factors of \(1000\) and \(10000\) from the numerator and denominator:
\[ = \frac{3555 \times 5555 \times 2025}{225 \times 17775 \times 2222} \]

### Step 5: Calculate Numerator and Denominator
Now, we can calculate the values:
- Numerator: \(3555 \times 5555 \times 2025\)
- Denominator: \(225 \times 17775 \times 2222\)

### Step 6: Perform the Multiplication
Calculating the values:
- Numerator:
- \(3555 \times 5555 = 19716025\)
- \(19716025 \times 2025 = 39999999975\)

- Denominator:
- \(225 \times 17775 = 3993750\)
- \(3993750 \times 2222 = 8888887500\)

### Step 7: Final Division
Now we divide the results:
\[ \frac{39999999975}{8888887500} \approx 4.5 \]

### Conclusion
Thus, the final answer is approximately \(4.5\).

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