10.2 as a Fraction

Writing 10.2 as a fraction requires us to multiply 10.2/1 by 10/10 which will result in 102/10. Reducing further we get the answer: 51/5. Because this is an improper fraction it can also be written it as a mixed number 10 1/5.

Writing 10.2 as a fraction requires us to multiply 10.2/1 by 10/10 which will result in 102/10. Simplifying further we get the final answer: 51/5.

What Is 10.2 as a Fraction?

10.2 as a fraction in lowest terms is 51/5. Quick tip: to verify the answer is correct, use a calculator to divide 51 by 5 and you should get 10.2.

How to Work Out 10.2 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 10.2 as a simplified fraction:

1. Turn 10.2 into a fraction dividing it by 1.
   10.2 1
2. To get rid of the decimal point, multiply the numerator and denominator by 10. Why 10? 10.2 has one digit after the decimal point, so you need to multiply by 10¹=10.
   10.2 1

   ×

   10 10

   =

   102 10
3. Divide 102 and 10 by their Greatest Common Divisor (GCD), which in this case is 2.
   102 ÷ 2 10 ÷ 2
4. In conclusion, 10.2 as a fraction in simplest form is:
   51 5
5. Since 10.2 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 51/5 as a mixed number:
   10

   1 5