0.4 as a fraction (.4 as a fraction)

0.4 as a fraction

What is 0.4 as a fraction? What is 0.4 as a fraction in lowest term? What does it mean to convert 0.4 to a fraction? It means that you want to convert the decimal number .4 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation:

.4 =

		N
		D

Here we will not only clearly explain how to get the answer to 0.4 as a fraction, but also prove to you that our answer is correct.

First, note that 10 multiplied by .4 will get rid of the decimal point. Therefore, make a fraction where the numerator is .4 times 10 and denominator is 10 like this:

		.4 x 10
		10

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

		4
		10

The greatest common factor of 4 and 10 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:

		4 ÷ 2
		10 ÷ 2

And when calculating the numerator and denominator in our fraction above, we get .4 as a fraction in the simplest form possible:

.4 =

		2
		5

A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 2 divided by 5 on your calculator, you will see that the answer is 0.4. Therefore, we know that the answer above is correct.

Decimal as a Fraction Calculator
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.40001 as a fraction
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