`0.04 // 0.2 = 0.2`

Answer

To solve the equation \( \frac{0.04}{0.2} = 0.2 \), we will follow these steps:

### Step 1: Convert decimals to fractions
We start by converting the decimals into fractions.
- \( 0.04 = \frac{4}{100} \) (since there are two decimal places)
- \( 0.2 = \frac{2}{10} \) (since there is one decimal place)

### Step 2: Write the division of fractions
Now we can write the division of these fractions:
\[ \frac{0.04}{0.2} = \frac{\frac{4}{100}}{\frac{2}{10}} \]

### Step 3: Simplify the division of fractions
When dividing fractions, we multiply by the reciprocal of the divisor:
\[ \frac{4}{100} \div \frac{2}{10} = \frac{4}{100} \times \frac{10}{2} \]

### Step 4: Multiply the fractions
Now we multiply the fractions:
\[ \frac{4 \times 10}{100 \times 2} = \frac{40}{200} \]

### Step 5: Simplify the fraction
Next, we simplify \( \frac{40}{200} \):
- Both the numerator and denominator can be divided by 40:
\[ \frac{40 \div 40}{200 \div 40} = \frac{1}{5} \]

### Step 6: Convert the simplified fraction back to decimal
Now we convert \( \frac{1}{5} \) back to a decimal:
\[ \frac{1}{5} = 0.2 \]

### Conclusion
Thus, we have shown that:
\[ \frac{0.04}{0.2} = 0.2 \]