0.21 as a simplified fraction

Here we will show you how to convert 0.21 to a simplified fraction. In other words, we will convert the decimal number 0.21 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 0.21 the numerator and 1 the denominator, like this:

		0.21
		1

Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 100:

		0.21 × 100
		1 × 100

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

		21
		100

The greatest common divisor of the numerator and denominator in the fraction above is 1. Therefore, we divide the numerator and the denominator by 1, like this:

		21 ÷ 1
		100 ÷ 1

Then, when we calculate the numerator and denominator above, we get 0.21 as a simplified fraction:

21
100

Note that the numerator is less than the denominator in 0.21 as a simplified fraction above. Therefore, the fraction is a proper fraction.

You can confirm that the 0.21 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 21 divided by 100 is in fact 0.21.

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0.211 as a simplified fraction
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