3.64 as a Fraction

To convert 3.64 to a fraction you need to multiply 3.64/1 by 100/100 and you’ll get 364/100. This result can be further reduced to 91/25. Since this is an improper fraction you can also write it as a mixed number 3 16/25.

To convert 3.64 to a fraction you need to multiply 3.64/1 by 100/100 and you’ll get 364/100. This result can be further reduced to 91/25.

3.64 as a fraction

What Is 3.64 as a Fraction?

3.64 as a fraction in simplest form is 91/25. You can verify this answer by using a calculator to divide 91 by 25 and the result should be 3.64.

How to Convert 3.64 to a Fraction

Here are the steps to convert a decimal to a fraction, more specifically how to get 3.64 as a simplified fraction:

  1. Rewrite 3.64 as a fraction dividing it by 1.
    3.64 1
  2. Multiply the numerator and denominator by 100. Because 3.64 has two digits after the decimal point, you need to multiply by 102=100 to get rid of the decimal places.
    3.64 1
    ×
    100 100
    =
    364 100
  3. Divide 364 and 100 by their Greatest Common Factor (GCF), which in this case is 4.
    364 ÷ 4 100 ÷ 4
  4. So 3.64 as a fraction in simplest form is:
    91 25
    green check mark
  5. Since the numerator is greater than the denominator, we are dealing with an improper fraction. This means we can also express 91/25 as a mixed number:
    3
    16 25