3.667 as a Fraction

Writing 3.667 as a fraction requires us to multiply 3.667/1 by 1000/1000 which will result in 3667/1000 - 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 3 667/1000.

What Is 3.667 as a Fraction?

3.667 as a fraction in lowest terms is 3667/1000. Quick tip: to verify the answer is correct, use a calculator to divide 3667 by 1000 and you should get 3.667.

How to Work Out 3.667 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 3.667 as a simplified fraction:

1. Turn 3.667 into a fraction dividing it by 1.
   3.667 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? 3.667 has three digit after the decimal point, so you need to multiply by 10³=1000.
   3.667 1

   ×

   1000 1000

   =

   3667 1000
3. Because this fraction cannot be reduced any further, 3.667 as a fraction in simplest form is:
   3667 1000
4. Since 3.667 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 3667/1000 as a mixed number:
   3

   667 1000