Question 9823: Find the exact fraction value foe the number 0.123123123....... using series only.
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! not sure what you mean "by Series". The only way i am aware is to do the following:
look at the repeating part, which here is 123. We need one whole section in front of the decimal point, so we need to multiply by 1000...
let r = 0.123123123...
so 1000r = 123.123123123...
now subtract the first from the second, leaving 999r = 123
so r = 123/999
jon
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