2.8125 as a Fraction

Writing 2.8125 as a fraction requires us to multiply 2.8125/1 by 10000/10000 which will result in 28125/10000. Reducing further we get the answer: 45/16. Because this is an improper fraction it can also be written it as a mixed number 2 13/16.

Writing 2.8125 as a fraction requires us to multiply 2.8125/1 by 10000/10000 which will result in 28125/10000. Simplifying further we get the final answer: 45/16.

What Is 2.8125 as a Fraction?

2.8125 as a fraction in lowest terms is 45/16. Quick tip: to verify the answer is correct, use a calculator to divide 45 by 16 and you should get 2.8125.

How to Work Out 2.8125 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 2.8125 as a simplified fraction:

1. Turn 2.8125 into a fraction dividing it by 1.
   2.8125 1
2. To get rid of the decimal point, multiply the numerator and denominator by 10000. Why 10000? 2.8125 has four digits after the decimal point, so you need to multiply by 1 followed by 4 zeros (10000).
   2.8125 1

   ×

   10000 10000

   =

   28125 10000
3. Divide 28125 and 10000 by their Greatest Common Divisor (GCD), which in this case is 625.
   28125 ÷ 625 10000 ÷ 625
4. In conclusion, 2.8125 as a fraction in simplest form is:
   45 16
5. Since 2.8125 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 45/16 as a mixed number:
   2

   13 16