How can I convert 0.02 into a fraction?

Converting a decimal like 0.02 into a fraction is a straightforward process. Here’s a step-by-step guide:

1. Understand the decimal: The decimal 0.02 represents two hundredths. This means it can be expressed as a fraction where 2 is the numerator and 100 is the denominator. So, we start with:

0.02 = \( \frac{2}{100} \)

2. Simplify the fraction: Now we need to simplify \( \frac{2}{100} \) to its lowest terms. To do this, find the greatest common divisor (GCD) of 2 and 100. The GCD of 2 and 100 is 2.

Now divide both the numerator and the denominator by their GCD:

Numerator: \( 2 \div 2 = 1 \)

Denominator: \( 100 \div 2 = 50 \)

Thus, we simplify it to:

\( \frac{2}{100} = \frac{1}{50} \)

3. Final result: Therefore, the decimal 0.02 as a fraction in its simplest form is:

\( \frac{1}{50} \)

And there you have it! The decimal 0.02 is equivalent to the fraction \( \frac{1}{50} \).