8.3125 as a Fraction

Writing 8.3125 as a fraction requires us to multiply 8.3125/1 by 10000/10000 which will result in 83125/10000. Reducing further we get the answer: 133/16. Because this is an improper fraction it can also be written it as a mixed number 8 5/16.

Writing 8.3125 as a fraction requires us to multiply 8.3125/1 by 10000/10000 which will result in 83125/10000. Simplifying further we get the final answer: 133/16.

What Is 8.3125 as a Fraction?

8.3125 as a fraction in lowest terms is 133/16. Quick tip: to verify the answer is correct, use a calculator to divide 133 by 16 and you should get 8.3125.

How to Work Out 8.3125 as a Fraction

The simple steps below will help you convert a decimal into a fraction. In this example we’ll demonstrate how to write 8.3125 as a simplified fraction:

1. Turn 8.3125 into a fraction dividing it by 1.
   8.3125 1
2. To get rid of the decimal point, multiply the numerator and denominator by 10000. Why 10000? 8.3125 has four digits after the decimal point, so you need to multiply by 1 followed by 4 zeros (10000).
   8.3125 1

   ×

   10000 10000

   =

   83125 10000
3. Divide 83125 and 10000 by their Greatest Common Divisor (GCD), which in this case is 625.
   83125 ÷ 625 10000 ÷ 625
4. In conclusion, 8.3125 as a fraction in simplest form is:
   133 16
5. Since 8.3125 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 133/16 as a mixed number:
   8

   5 16