Question

Convert 0.4 into a fraction :) thanks! hugs!<3 show ALL work!!

Answer 1

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 $\frac{4}{10}$. 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 $\frac{2}{5}$, which is in lowest terms.

Answer 2

$0.4 =\frac{0.4}{1} = \frac{0.4\times 10}{1\times 10} = \frac{4}{10} = \frac{2}{5}$

When you multiply the numerator and denominator both by the same thing, it is called an equivalent fraction.