Recurring Decimals (2)
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  • Introduction
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A recurring decimal is one that repeats itself forever. We use dots above the decimal numbers to show how it repeats.  Look at the following table to see how the notation works.

 

Example

                    
Write the following recurring decimal as a fraction:

 

Answer

Let           x =   0.5454545454545454....

Then  100x = 54.545454545454...

 

Now subtract both sides to get rid of the recurring part of the decimal, leaving:

99x = 54

So x = 54/99 = 6/11 in its lowest terms.

  • Question 1
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 2
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 3
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 4
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 5
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 6
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 7
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 8
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 9
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

  • Question 10
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Write the following recurring decimal as a fraction in its lowest terms.

 

 (Write your answer as a reduced fraction in the form a/b)

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