1.414 as a Fraction

Converting 1.414 to a fraction requires multiplying 1.414/1 by 1000/1000 resulting into 1414/1000. This fraction can be further reduced to 707/500. This being an improper fraction it can also be written as a mixed number 1 207/500.

What Is 1.414 as a Fraction?

The value of 1.414 as a fraction is 707/500. This can be verified by using a calculator app on which you can divide 707 by 500, giving you the answer: 1.414.

How to Write 1.414 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 1.414 as a simplified fraction:

1. Start with dividing 1.414 by 1. You can turn any number into a fraction by doing this.
   1.414 1
2. Then multiply both the numerator and denominator by 1000. This is needed to get rid of the decimal point. Since 1.414 has three digits after the decimal point, you have to multiply it by 1000 (notice the three zeros).
   1.414 1

   ×

   1000 1000

   =

   1414 1000
3. After calculating the Greatest Common Divisor of 1414 and 1000, which is 2, divide 1414 and 1000 by it (GCD).
   1414 ÷ 2 1000 ÷ 2
4. Finally, 1.414 as a fraction in simplest form is:
   707 500
5. When the numerator is greater than the denominator, we are talking about an improper fraction. In this case, we can also write 707/500 as a mixed number:
   1

   207 500