## Basic College Mathematics (10th Edition)

$\frac{2}{5}$
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. $\frac{4}{10}=\frac{4\div2}{10\div2}=\frac{2}{5}$