.165 as a Fraction

Writing .165 as a fraction requires us to multiply 0.165/1 by 1000/1000 which will result in 165/1000. Simplifying further we get the final answer: 33/200.

What Is .165 as a Fraction?

.165 as a fraction in lowest terms is 33/200. Quick tip: to verify the answer is correct, use a calculator to divide 33 by 200 and you should get 0.165.

How to Work Out .165 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 .165:

1. Turn 0.165 into a fraction dividing it by 1.
   0.165 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? .165 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   0.165 1

   ×

   1000 1000

   =

   165 1000
3. Divide 165 and 1000 by their Greatest Common Divisor (GCD), which in this case is 5.
   165 ÷ 5 1000 ÷ 5
4. In conclusion, .165 as a fraction in simplest form is:
   33 200