`(4.41 xx 0.16)/(2.1 xx 1.6 xx 0.21)` is simplified to

Options

A. 1
B. 0.1
C. 0.01
D. 10

Answer

To simplify the expression \((4.41 \times 0.16) / (2.1 \times 1.6 \times 0.21)\), we can follow these steps:

### Step 1: Remove the decimal points
To simplify the calculation, we can eliminate the decimal points by multiplying both the numerator and the denominator by appropriate powers of 10.

- For \(4.41\), we can multiply by \(100\) (to remove two decimal places).
- For \(0.16\), we can multiply by \(100\) (to remove two decimal places).
- For \(2.1\), we can multiply by \(10\) (to remove one decimal place).
- For \(1.6\), we can multiply by \(10\) (to remove one decimal place).
- For \(0.21\), we can multiply by \(100\) (to remove two decimal places).

Thus, we rewrite the expression as:
\[ \frac{4.41 \times 0.16 \times 100 \times 100}{2.1 \times 1.6 \times 0.21 \times 10 \times 10 \times 100} \]

### Step 2: Rewrite the expression
This simplifies to:
\[ \frac{441 \times 16}{21 \times 16 \times 21} \]

### Step 3: Cancel common factors
Now we can cancel the common factor \(16\) from the numerator and the denominator:
\[ \frac{441}{21 \times 21} \]

### Step 4: Calculate the denominator
Calculate \(21 \times 21 = 441\):
\[ \frac{441}{441} \]

### Step 5: Simplify the fraction
This simplifies to:
\[ 1 \]

### Final Answer
Thus, the expression \((4.41 \times 0.16) / (2.1 \times 1.6 \times 0.21)\) simplifies to \(1\).

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