5.625 as a Fraction

Converting 5.625 to a fraction requires multiplying 5.625/1 by 1000/1000 resulting into 5625/1000. This fraction can be further reduced to 45/8. This being an improper fraction it can also be written as a mixed number 5 5/8.

What Is 5.625 as a Fraction?

The value of 5.625 as a fraction is 45/8. This can be verified by using a calculator app on which you can divide 45 by 8, giving you the answer: 5.625.

How to Write 5.625 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 5.625 as a simplified fraction:

1. Start with dividing 5.625 by 1. You can turn any number into a fraction by doing this.
   5.625 1
2. Then multiply both the numerator and denominator by 1000. This is needed to get rid of the decimal point. Since 5.625 has three digits after the decimal point, you have to multiply it by 1000 (notice the three zeros).
   5.625 1

   ×

   1000 1000

   =

   5625 1000
3. After calculating the Greatest Common Divisor of 5625 and 1000, which is 125, divide 5625 and 1000 by it (GCD).
   5625 ÷ 125 1000 ÷ 125
4. Finally, 5.625 as a fraction in simplest form is:
   45 8
5. When the numerator is greater than the denominator, we are talking about an improper fraction. In this case, we can also write 45/8 as a mixed number:
   5

   5 8