0.565 as a Fraction

Writing 0.565 as a fraction requires us to multiply 0.565/1 by 1000/1000 which will result in 565/1000. Simplifying further we get the final answer: 113/200.

What Is 0.565 as a Fraction?

0.565 as a fraction in lowest terms is 113/200. Quick tip: to verify the answer is correct, use a calculator to divide 113 by 200 and you should get 0.565.

How to Work Out 0.565 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 .565 as a simplified fraction:

1. Turn 0.565 into a fraction dividing it by 1.
   0.565 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? 0.565 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   0.565 1

   ×

   1000 1000

   =

   565 1000
3. Divide 565 and 1000 by their Greatest Common Divisor (GCD), which in this case is 5.
   565 ÷ 5 1000 ÷ 5
4. In conclusion, 0.565 as a fraction in simplest form is:
   113 200