6.65 as a Fraction

Writing 6.65 as a fraction requires us to multiply 6.65/1 by 100/100 which will result in 665/100. Reducing further we get the answer: 133/20. Because this is an improper fraction it can also be written it as a mixed number 6 13/20.

Writing 6.65 as a fraction requires us to multiply 6.65/1 by 100/100 which will result in 665/100. Simplifying further we get the final answer: 133/20.

What Is 6.65 as a Fraction?

6.65 as a fraction in lowest terms is 133/20. Quick tip: to verify the answer is correct, use a calculator to divide 133 by 20 and you should get 6.65.

How to Work Out 6.65 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 6.65 as a simplified fraction:

1. Turn 6.65 into a fraction dividing it by 1.
   6.65 1
2. To get rid of the decimal point, multiply the numerator and denominator by 100. Why 100? 6.65 has two digits after the decimal point, so you need to multiply by 1 followed by 2 zeros (100).
   6.65 1

   ×

   100 100

   =

   665 100
3. Divide 665 and 100 by their Greatest Common Divisor (GCD), which in this case is 5.
   665 ÷ 5 100 ÷ 5
4. In conclusion, 6.65 as a fraction in simplest form is:
   133 20
5. Since 6.65 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 133/20 as a mixed number:
   6

   13 20