4.56 as a Fraction

Writing 4.56 as a fraction requires us to multiply 4.56/1 by 100/100 which will result in 456/100. Reducing further we get the answer: 114/25. Because this is an improper fraction it can also be written it as a mixed number 4 14/25.

Writing 4.56 as a fraction requires us to multiply 4.56/1 by 100/100 which will result in 456/100. Simplifying further we get the final answer: 114/25.

What Is 4.56 as a Fraction?

4.56 as a fraction in lowest terms is 114/25. Quick tip: to verify the answer is correct, use a calculator to divide 114 by 25 and you should get 4.56.

How to Work Out 4.56 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 4.56 as a simplified fraction:

1. Turn 4.56 into a fraction dividing it by 1.
   4.56 1
2. To get rid of the decimal point, multiply the numerator and denominator by 100. Why 100? 4.56 has two digits after the decimal point, so you need to multiply by 1 followed by 2 zeros (100).
   4.56 1

   ×

   100 100

   =

   456 100
3. Divide 456 and 100 by their Greatest Common Divisor (GCD), which in this case is 4.
   456 ÷ 4 100 ÷ 4
4. In conclusion, 4.56 as a fraction in simplest form is:
   114 25
5. Since 4.56 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 114/25 as a mixed number:
   4

   14 25