82.5 as a Fraction

Converting 82.5 to a fraction requires multiplying 82.5/1 by 10/10 resulting into 825/10. This fraction can be further reduced to 165/2. This being an improper fraction it can also be written as a mixed number 82 1/2.

What Is 82.5 as a Fraction?

The value of 82.5 as a fraction is 165/2. This can be verified by using a calculator app on which you can divide 165 by 2, giving you the answer: 82.5.

How to Write 82.5 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 82.5 as a simplified fraction:

1. Start with dividing 82.5 by 1. You can turn any number into a fraction by doing this.
   82.5 1
2. Then multiply both the numerator and denominator by 10. This is needed to get rid of the decimal point. Since 82.5 has only one digit after the decimal point, you have to multiply it by 10¹=10.
   82.5 1

   ×

   10 10

   =

   825 10
3. After calculating the Greatest Common Divisor of 825 and 10, which is 5, divide 825 and 10 by it (GCD).
   825 ÷ 5 10 ÷ 5
4. Finally, 82.5 as a fraction in simplest form is:
   165 2
5. When the numerator is greater than the denominator, we are talking about an improper fraction. In this case, we can also write 165/2 as a mixed number:
   82

   1 2