How do you change 0.2 into a fraction?

Explanation:
When changing a decimal to a fraction, think of the decimal "out of 1." In mathematical terms, "out of" generally suggests division.
For example on this question, think of 0.2 as 0.2 out of 1, which would be shown as
${\displaystyle \frac{0.2}{1}}$
To more easily simplify this, multiply both the top and bottom by 10:
${\displaystyle \frac{0.2}{1}\cdot \frac{10}{10}}$
You are able to do this because ${\displaystyle \frac{10}{10}}$ is equal to 1 and multiplying by a number and 1 results in the same number.
Then you get ${\displaystyle \frac{2}{10}}$. Both 2 and 10 are divisible by 2:
${\displaystyle \frac{22}{=}1}$ and ${\displaystyle \frac{10}{2}=5}$
So the final answer is ${\displaystyle \frac{15}{}}$

Explanation:
The way it is read essentially gives away the answer. 0.2 is rad as "Two tenths", which means the fraction is out of ${\displaystyle 10}$. The numerator is 2.
This can be interpreted as
${\displaystyle \frac{2}{10}}$, or in simplest form, ${\displaystyle \frac{15}{}}$
Another method is to realize that we can express any number as a fraction if we put it over 1
${\displaystyle \frac{0.2}{1}}$
Since decimals arent

Fine. Thanks