Rewrite as a simplified fraction.
0.2 = ?

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 means division.

For example on this question, think of 0.2 as 0.2 out of 1, which would be shown as 0.2/1

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

0.2/1 x 10/10

You are able to do this because 10/10 is equal to 1 and multiplying by a number and  1  results in the same number.

Then you get  2 /10 . Both  2  and  10  are divisible by  2

2 /2  = 1 and  10 /2  = 5

So the final answer is 1/5

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step-by-step explanation:

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