.645 as a Fraction

Writing .645 as a fraction requires us to multiply 0.645/1 by 1000/1000 which will result in 645/1000. Simplifying further we get the final answer: 129/200.

What Is .645 as a Fraction?

.645 as a fraction in lowest terms is 129/200. Quick tip: to verify the answer is correct, use a calculator to divide 129 by 200 and you should get 0.645.

How to Work Out .645 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 .645:

1. Turn 0.645 into a fraction dividing it by 1.
   0.645 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? .645 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   0.645 1

   ×

   1000 1000

   =

   645 1000
3. Divide 645 and 1000 by their Greatest Common Divisor (GCD), which in this case is 5.
   645 ÷ 5 1000 ÷ 5
4. In conclusion, .645 as a fraction in simplest form is:
   129 200