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MATH IN DEMAND

Converting Repeating Decimals into Fractions

Objective:
  • Convert repeating decimals into fractions

What are repeating decimals?
Repeating decimals are decimals that have a repeating pattern. For example, 0.2121... is a repeating decimal because the digits "21" keeps repeating in a pattern. Some other examples include,
Picture
These same numbers can be written with a "bar notation" over the repeating digits. For example, we can write...
Picture

How to Convert a Repeating Decimal into a Fraction

Lets look at an example with one repeating digit:
Picture

Your Turn #1

Convert the following repeating decimal into a fraction:
Picture
Click HERE to check your answer
Now, lets look at another example with two repeating digits:
Picture

Your Turn #2

Convert the following repeating decimal into a fraction:
Picture
Click HERE to check your answer
In the final example, lets look at a decimal with three repeating digits:
Picture

Your Turn #3

Convert the following repeating decimal into a fraction:
Picture
Click HERE to check your answer

Quiz

You will take the quiz after you have taken notes.

​CLICK HERE FOR QUIZ
(C) 2017 MATH IN DEMAND​