16.4 as a Fraction

Writing 16.4 as a fraction requires us to multiply 16.4/1 by 10/10 which will result in 164/10. Reducing further we get the answer: 82/5. Because this is an improper fraction it can also be written it as a mixed number 16 2/5.

Writing 16.4 as a fraction requires us to multiply 16.4/1 by 10/10 which will result in 164/10. Simplifying further we get the final answer: 82/5.

What Is 16.4 as a Fraction?

16.4 as a fraction in lowest terms is 82/5. Quick tip: to verify the answer is correct, use a calculator to divide 82 by 5 and you should get 16.4.

How to Work Out 16.4 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 16.4 as a simplified fraction:

1. Turn 16.4 into a fraction dividing it by 1.
   16.4 1
2. To get rid of the decimal point, multiply the numerator and denominator by 10. Why 10? 16.4 has one digit after the decimal point, so you need to multiply by 10¹=10.
   16.4 1

   ×

   10 10

   =

   164 10
3. Divide 164 and 10 by their Greatest Common Divisor (GCD), which in this case is 2.
   164 ÷ 2 10 ÷ 2
4. In conclusion, 16.4 as a fraction in simplest form is:
   82 5
5. Since 16.4 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 82/5 as a mixed number:
   16

   2 5