5.12 as a Fraction

Writing 5.12 as a fraction requires us to multiply 5.12/1 by 100/100 which will result in 512/100. Reducing further we get the answer: 128/25. Because this is an improper fraction it can also be written it as a mixed number 5 3/25.

Writing 5.12 as a fraction requires us to multiply 5.12/1 by 100/100 which will result in 512/100. Simplifying further we get the final answer: 128/25.

What Is 5.12 as a Fraction?

5.12 as a fraction in lowest terms is 128/25. Quick tip: to verify the answer is correct, use a calculator to divide 128 by 25 and you should get 5.12.

How to Work Out 5.12 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 5.12 as a simplified fraction:

1. Turn 5.12 into a fraction dividing it by 1.
   5.12 1
2. To get rid of the decimal point, multiply the numerator and denominator by 100. Why 100? 5.12 has two digits after the decimal point, so you need to multiply by 1 followed by 2 zeros (100).
   5.12 1

   ×

   100 100

   =

   512 100
3. Divide 512 and 100 by their Greatest Common Divisor (GCD), which in this case is 4.
   512 ÷ 4 100 ÷ 4
4. In conclusion, 5.12 as a fraction in simplest form is:
   128 25
5. Since 5.12 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 128/25 as a mixed number:
   5

   3 25