Convert 0.04 to a Reduced Fraction: Decimal Transformation

Write 0.04 as a fraction and reduce.

To solve the problem of writing 0.04 as a fraction, we will follow these steps:

• Step 1: Identify the decimal and its place value.
• Step 2: Convert the decimal to an equivalent fraction.
• Step 3: Simplify the fraction to its simplest form.

Let's work through each step:

Step 1: The given decimal is 0.04. Recognizing that 0.04 is in the "hundredths" place, we can express it as:

$0.04 = \frac{4}{100}$

Step 2: Next, we simplify the fraction $\frac{4}{100}$. To do this, we find the greatest common divisor (GCD) of 4 and 100, which is 4.

Step 3: Divide the numerator and the denominator by their GCD:

$\frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25}$

Therefore, the fraction representation of the decimal 0.04, in simplest form, is $\frac{1}{25}$.