If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Writing fractions as repeating decimals review

Review converting fractions to repeating decimals, and then try some practice problems.

Writing fractions as decimals

To convert a fraction to a decimal, we divide the numerator by the denominator.

Writing fractions as repeating decimals

However, it does not always work out that nicely.
Sometimes, when we divide the numerator by the denominator, it becomes clear that the digits will keep repeating. In this case, we write the answer as a repeating decimal.
In our answer, we write a bar over the repeating digits to show that they repeat.
  0.44449)4.00000000000-0040-360040-36 000040-3600004
No matter how long we divide, the 4 will continue to repeat in our quotient.
Want to learn more about writing fractions as repeating decimals? Check out this video.


Problem 1
Select the decimal that is equivalent to 23.
Choose 1 answer:

Want to try more problems like this? Check out this exercise.

Want to join the conversation?