SOLUTION: e.g. 0.1111... = 1/9
So then how would I convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
Thank you!
Algebra ->
Decimal-numbers
-> SOLUTION: e.g. 0.1111... = 1/9
So then how would I convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
Thank you!
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Question 503505: e.g. 0.1111... = 1/9
So then how would I convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
Thank you! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
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Let x = 0.0238095238095238095...
Then 10x = 0.238095238095...
And 10^7x = 238095.238095238095
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Subtract the 2nd line from the 3rd to get:
(10^7-10)x = 238095
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x = 238095/[10000000-10] = 238095/9,999,990
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Cheers,
Stan H.