Answer
$\frac{2}{5}$
Work Step by Step
We are given the decimal .4. In order to write this decimal as a fraction, we can divide .4 by 1 (which is equivalent to having .4 as the numerator and 1 as the denominator).
$.4\div1=\frac{.4}{1}$
Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points.
$\frac{.4}{1}=\frac{.4\times10}{1\times10}=\frac{4}{10}$
Reduce to simplest form.
$\frac{4}{10}=\frac{4\div2}{10\div2}=\frac{2}{5}$
