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To express 0.0101010101 as a fraction, we first need to identify the repeating pattern, which is 01. Let x = 0.0101010101. Multiplying x by 100 gives 1.0101010101, and subtracting x gives 99x = 1. Solving for x, we get x = 1/99. Therefore, 0.0101010101 as a fraction is 1/99.
Oh, what a happy little question! To express 0.0101010101 as a fraction, we can see that it's a repeating decimal. We can write it as 1/99, which is a beautiful way to show that pattern in a simple form. Just remember, there are no mistakes, just happy little fractions waiting to be discovered!
Let P = 0.010101...
Hence
100P = 1.01010....
Subtract
99P = 1 ( NB The repeating decimals subtract out).
P = 1/99
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