10.5 as a Fraction

To convert 10.5 to a fraction you need to multiply 10.5/1 by 10/10 and you’ll get 105/10. This result can be further reduced to 21/2. Since this is an improper fraction you can also write it as a mixed number 10 1/2.

To convert 10.5 to a fraction you need to multiply 10.5/1 by 10/10 and you’ll get 105/10. This result can be further reduced to 21/2.

What Is 10.5 as a Fraction?

10.5 as a fraction in simplest form is 21/2. You can verify this answer by using a calculator to divide 21 by 2 and the result should be 10.5.

How to Convert 10.5 to a Fraction

Here are the steps to convert a decimal to a fraction, more specifically how to get 10.5 as a simplified fraction:

1. Rewrite 10.5 as a fraction dividing it by 1.
   10.5 1
2. Multiply the numerator and denominator by 10. Because 10.5 has one digit after the decimal point, you need to multiply by 10¹=10 to get rid of the decimal places.
   10.5 1

   ×

   10 10

   =

   105 10
3. Divide 105 and 10 by their Greatest Common Factor (GCF), which in this case is 5.
   105 ÷ 5 10 ÷ 5
4. So 10.5 as a fraction in simplest form is:
   21 2
5. Since the numerator is greater than the denominator, we are dealing with an improper fraction. This means we can also express 21/2 as a mixed number:
   10

   1 2