SOLUTION: Give the sum p+q where p/q is the reduced fraction represented by the repeating decimal 2.1.

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Question 74071: Give the sum p+q where p/q is the reduced fraction represented by the repeating decimal 2.1.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the repeating decimal is 2.121212121...
If x = 2.12121212...
Then 100x = 212.12121212...
Subtract to get:
99x = 210
x= 210/99 = p/q
Then p+q - 210+99 = 309
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Cheers,
Stan H.