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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.
Example:25
25=2÷5
  0.45)2.00000000-0020-20000
25=0.4

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.
Example:49
49=4÷9
  0.44449)4.00000000000-0040-360040-36 000040-3600004
No matter how long we divide, the 4 will continue to repeat in our quotient.
49=0.4
Want to learn more about writing fractions as repeating decimals? Check out this video.

Practice

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

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

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