To solve the problem \(0.2 \times 0.3\), we can follow these steps:
### Step 1: Convert the decimals to fractions
First, we convert the decimal numbers into fractions:
- \(0.2\) can be written as \(\frac{2}{10}\)
- \(0.3\) can be written as \(\frac{3}{10}\)
### Step 2: Multiply the fractions
Now, we multiply the two fractions:
\[
\frac{2}{10} \times \frac{3}{10} = \frac{2 \times 3}{10 \times 10} = \frac{6}{100}
\]
### Step 3: Simplify the fraction (if necessary)
In this case, \(\frac{6}{100}\) cannot be simplified further, but we can convert it to a decimal.
### Step 4: Convert the fraction to a decimal
To convert \(\frac{6}{100}\) to a decimal, we divide the numerator by the denominator:
\[
\frac{6}{100} = 0.06
\]
### Final Answer
Thus, the answer to \(0.2 \times 0.3\) is:
\[
\boxed{0.06}
\]
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