`(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: Write the expression clearly
We start with the expression:
\[ \frac{4.41 \times 0.16}{2.1 \times 1.6 \times 0.21} \]

### Step 2: Remove the decimals
To simplify calculations, we can eliminate the decimals by multiplying both the numerator and the denominator by 100 (since the maximum number of decimal places is 2). This gives us:
\[ \frac{4.41 \times 0.16 \times 100}{2.1 \times 1.6 \times 0.21 \times 100} \]
This simplifies to:
\[ \frac{441 \times 16}{210 \times 16 \times 21} \]

### Step 3: Cancel common factors
In the above expression, we can see that \(16\) appears in both the numerator and the denominator, so we can cancel it out:
\[ \frac{441}{210 \times 21} \]

### Step 4: Calculate the denominator
Next, we calculate \(210 \times 21\):
\[ 210 \times 21 = 4410 \]
So now we have:
\[ \frac{441}{4410} \]

### Step 5: Simplify the fraction
Now we can simplify \(\frac{441}{4410}\). Both numbers can be divided by \(441\):
\[ \frac{441 \div 441}{4410 \div 441} = \frac{1}{10} \]

### Final Answer
Thus, the simplified form of the expression \((4.41 \times 0.16) / (2.1 \times 1.6 \times 0.21)\) is:
\[ \frac{1}{10} \]

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