13.375 as a Fraction

Converting 13.375 to a fraction requires multiplying 13.375/1 by 1000/1000 resulting into 13375/1000. This fraction can be further reduced to 107/8. This being an improper fraction it can also be written as a mixed number 13 3/8.

What Is 13.375 as a Fraction?

The value of 13.375 as a fraction is 107/8. This can be verified by using a calculator app on which you can divide 107 by 8, giving you the answer: 13.375.

How to Write 13.375 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 13.375 as a simplified fraction:

1. Start with dividing 13.375 by 1. You can turn any number into a fraction by doing this.
   13.375 1
2. Then multiply both the numerator and denominator by 1000. This is needed to get rid of the decimal point. Since 13.375 has three digits after the decimal point, you have to multiply it by 1000 (notice the three zeros).
   13.375 1

   ×

   1000 1000

   =

   13375 1000
3. After calculating the Greatest Common Divisor of 13375 and 1000, which is 125, divide 13375 and 1000 by it (GCD).
   13375 ÷ 125 1000 ÷ 125
4. Finally, 13.375 as a fraction in simplest form is:
   107 8
5. When the numerator is greater than the denominator, we are talking about an improper fraction. In this case, we can also write 107/8 as a mixed number:
   13

   3 8