Answer :

[tex]0.4=\frac{4}{10}=\frac{4:2}{10:2}=\boxed{\frac{2}{5}}[/tex]

Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction [tex]\frac{4}{10}[/tex]. Notice however that the fraction is not in lowest terms. We will need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2. Therefore, 0.4 can be written as the fraction [tex]\frac{2}{5}[/tex], which is in lowest terms.

View image TheBlueFox