Recurring Decimals and Geometric Sequences
Recurring decimals are decimals numbers whose digits repeat at regular intervals. For instance, 0.666íK and 1.2341341341íK are recurring decimals. They are denoted by and respectively.
All recurring decimals can be written as fractions. Below we give two methods by which the recurring decimal can be converted into a fraction.Method 1
Subtracting the second equation from the first, we get .
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