0.2 as a simplified fraction

Here we will show you how to convert 0.2 to a simplified fraction. In other words, we will convert the decimal number 0.2 to a fraction with a numerator and denominator in the simplest form possible.

You can divide any number by 1 without changing its value. Therefore, we start by making 0.2 the numerator and 1 the denominator, like this:

 0.2 1

Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 10:

 0.2 × 10 1 × 10

When we calculate the new numerator and denominator above, we get a fraction without a decimal point.

 2 10

The greatest common divisor of the numerator and denominator in the fraction above is 2. Therefore, we divide the numerator and the denominator by 2, like this:

 2 ÷ 2 10 ÷ 2

Then, when we calculate the numerator and denominator above, we get 0.2 as a simplified fraction:

 1 5

Note that the numerator is less than the denominator in 0.2 as a simplified fraction above. Therefore, the fraction is a proper fraction.

You can confirm that the 0.2 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 1 divided by 5 is in fact 0.2.

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