Convert 0.08 to Simplified Fraction Form: Step-by-Step Solution

To solve this problem, we'll take the following steps:

• Step 1: Convert the decimal to a fraction
• Step 2: Simplify the fraction

Let's work through each step:

Step 1: Convert the decimal to a fraction
The decimal 0.08 can be interpreted as eight hundredths, which means it can be written as the fraction $\frac{8}{100}$. This step uses the place value of the decimal where the hundredths place is equivalent to $\frac{1}{100}$.

Step 2: Simplify the fraction
To simplify $\frac{8}{100}$, we need to find the greatest common divisor (GCD) of 8 and 100. The factors of 8 are 1, 2, 4, 8, and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The greatest common factor shared by both is 4.
Divide the numerator and the denominator by the GCD, which is 4: $\frac{8 \div 4}{100 \div 4} = \frac{2}{25}$

Therefore, after converting 0.08 to a fraction and simplifying, the simplest form is $\frac{2}{25}$.