0.165 as a Fraction

To convert 0.165 to a fraction you need to multiply 0.165/1 by 1000/1000 and you’ll get 165/1000. This result can be further reduced to 33/200.

What Is 0.165 as a Fraction?

0.165 as a fraction in simplest form is 33/200. You can verify this answer by using a calculator to divide 33 by 200 and the result should be 0.165.

How to Convert 0.165 to a Fraction

Here are the steps to convert a decimal to a fraction, more specifically how to get .165 as a simplified fraction:

1. Rewrite 0.165 as a fraction dividing it by 1.
   0.165 1
2. Multiply the numerator and denominator by 1000. Because 0.165 has three digits after the decimal point, you need to multiply by 10³=1000 to get rid of the decimal places.
   0.165 1

   ×

   1000 1000

   =

   165 1000
3. Divide 165 and 1000 by their Greatest Common Factor (GCF), which in this case is 5.
   165 ÷ 5 1000 ÷ 5
4. So 0.165 as a fraction in simplest form is:
   33 200