3.84 as a Fraction

To convert 3.84 to a fraction you need to multiply 3.84/1 by 100/100 and you’ll get 384/100. This result can be further reduced to 96/25. Since this is an improper fraction you can also write it as a mixed number 3 21/25.

To convert 3.84 to a fraction you need to multiply 3.84/1 by 100/100 and you’ll get 384/100. This result can be further reduced to 96/25.

What Is 3.84 as a Fraction?

3.84 as a fraction in simplest form is 96/25. You can verify this answer by using a calculator to divide 96 by 25 and the result should be 3.84.

How to Convert 3.84 to a Fraction

Here are the steps to convert a decimal to a fraction, more specifically how to get 3.84 as a simplified fraction:

1. Rewrite 3.84 as a fraction dividing it by 1.
   3.84 1
2. Multiply the numerator and denominator by 100. Because 3.84 has two digits after the decimal point, you need to multiply by 10²=100 to get rid of the decimal places.
   3.84 1

   ×

   100 100

   =

   384 100
3. Divide 384 and 100 by their Greatest Common Factor (GCF), which in this case is 4.
   384 ÷ 4 100 ÷ 4
4. So 3.84 as a fraction in simplest form is:
   96 25
5. Since the numerator is greater than the denominator, we are dealing with an improper fraction. This means we can also express 96/25 as a mixed number:
   3

   21 25