6.667 as a Fraction

Writing 6.667 as a fraction requires us to multiply 6.667/1 by 1000/1000 which will result in 6667/1000 - the final answer, since this fraction cannot be reduced. Because this is an improper fraction it can also be written it as a mixed number 6 667/1000.

What Is 6.667 as a Fraction?

6.667 as a fraction in lowest terms is 6667/1000. Quick tip: to verify the answer is correct, use a calculator to divide 6667 by 1000 and you should get 6.667.

How to Work Out 6.667 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 6.667 as a simplified fraction:

1. Turn 6.667 into a fraction dividing it by 1.
   6.667 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? 6.667 has three digit after the decimal point, so you need to multiply by 10³=1000.
   6.667 1

   ×

   1000 1000

   =

   6667 1000
3. Because this fraction cannot be reduced any further, 6.667 as a fraction in simplest form is:
   6667 1000
4. Since 6.667 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 6667/1000 as a mixed number:
   6

   667 1000