Answer
$\frac{9}{100}$
Work Step by Step
We are given the decimal .09. In order to write this decimal as a fraction, we can divide .09 by 1 (which is equivalent to having .09 as the numerator and 1 as the denominator).
$.09\div1=\frac{.09}{1}$
Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form.
$\frac{.09}{1}=\frac{.09\times100}{1\times100}=\frac{9}{100}$
This fraction is in simplest form.
