0.164 as a Fraction

Writing 0.164 as a fraction requires us to multiply 0.164/1 by 1000/1000 which will result in 164/1000. Simplifying further we get the final answer: 41/250.

What Is 0.164 as a Fraction?

0.164 as a fraction in lowest terms is 41/250. Quick tip: to verify the answer is correct, use a calculator to divide 41 by 250 and you should get 0.164.

How to Work Out 0.164 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 .164 as a simplified fraction:

1. Turn 0.164 into a fraction dividing it by 1.
   0.164 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? 0.164 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   0.164 1

   ×

   1000 1000

   =

   164 1000
3. Divide 164 and 1000 by their Greatest Common Divisor (GCD), which in this case is 4.
   164 ÷ 4 1000 ÷ 4
4. In conclusion, 0.164 as a fraction in simplest form is:
   41 250