2.005 as a Fraction

Converting 2.005 to a fraction requires multiplying 2.005/1 by 1000/1000 resulting into 2005/1000. This fraction can be further reduced to 401/200. This being an improper fraction it can also be written as a mixed number 2 1/200.

What Is 2.005 as a Fraction?

The value of 2.005 as a fraction is 401/200. This can be verified by using a calculator app on which you can divide 401 by 200, giving you the answer: 2.005.

How to Write 2.005 as a Fraction

Follow the next steps and learn how to turn a decimal into a fraction. In this case, we’ll show you how to write 2.005 as a simplified fraction:

1. Start with dividing 2.005 by 1. You can turn any number into a fraction by doing this.
   2.005 1
2. Then multiply both the numerator and denominator by 1000. This is needed to get rid of the decimal point. Since 2.005 has three digits after the decimal point, you have to multiply it by 1000 (notice the three zeros).
   2.005 1

   ×

   1000 1000

   =

   2005 1000
3. After calculating the Greatest Common Divisor of 2005 and 1000, which is 5, divide 2005 and 1000 by it (GCD).
   2005 ÷ 5 1000 ÷ 5
4. Finally, 2.005 as a fraction in simplest form is:
   401 200
5. When the numerator is greater than the denominator, we are talking about an improper fraction. In this case, we can also write 401/200 as a mixed number:
   2

   1 200