Answer
$\frac{1}{50}$
Work Step by Step
We are given the decimal .02. In order to write this decimal as a fraction, we can divide .02 by 1 (which is equivalent to having .02 as the numerator and 1 as the denominator).
$.02\div1=\frac{.02}{1}$
Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form.
$\frac{.02}{1}=\frac{.02\times100}{1\times100}=\frac{2}{100}$
Reduce to simplest form.
$\frac{2}{100}=\frac{2\div2}{100\div2}=\frac{1}{50}$