21.75 as a Fraction

Writing 21.75 as a fraction requires us to multiply 21.75/1 by 100/100 which will result in 2175/100. Reducing further we get the answer: 87/4. Because this is an improper fraction it can also be written it as a mixed number 21 3/4.

Writing 21.75 as a fraction requires us to multiply 21.75/1 by 100/100 which will result in 2175/100. Simplifying further we get the final answer: 87/4.

What Is 21.75 as a Fraction?

21.75 as a fraction in lowest terms is 87/4. Quick tip: to verify the answer is correct, use a calculator to divide 87 by 4 and you should get 21.75.

How to Work Out 21.75 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 21.75 as a simplified fraction:

1. Turn 21.75 into a fraction dividing it by 1.
   21.75 1
2. To get rid of the decimal point, multiply the numerator and denominator by 100. Why 100? 21.75 has two digits after the decimal point, so you need to multiply by 1 followed by 2 zeros (100).
   21.75 1

   ×

   100 100

   =

   2175 100
3. Divide 2175 and 100 by their Greatest Common Divisor (GCD), which in this case is 25.
   2175 ÷ 25 100 ÷ 25
4. In conclusion, 21.75 as a fraction in simplest form is:
   87 4
5. Since 21.75 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 87/4 as a mixed number:
   21

   3 4