Respuesta :
[tex]0.4 =\frac{0.4}{1} = \frac{0.4\times 10}{1\times 10} = \frac{4}{10} = \frac{2}{5}[/tex]
When you multiply the numerator and denominator both by the same thing, it is called an equivalent fraction.
When you multiply the numerator and denominator both by the same thing, it is called an equivalent fraction.
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.