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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.

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