Mathematics: What is 0.2 as a fraction in the simplist form

What is 0.2 as a fraction in the simplist form

Blackhawk1881

03.10.2021

$0.2= \frac{1}{5}$

Step-by-step 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 $\frac{0.2}{1}$

To more easily simplify this, multiply both the top and bottom by 10:

$\frac{0.2}{1}$ · $\frac{10}{10}$

You are able to do this because $\frac{10}{10}$ is equal to 1 and multiplying by number and 1 results in the same number.

Then you get $\frac{2}{10}$ . Both 2 and 10 are divisible by 2 :

$\frac{2}{2} = 1$ and $\frac{10}{2} = 5$

So the final answer is $\frac{1}{5}$

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