July 31st, 2017, 05:20 PM  #1 
Newbie Joined: Jul 2017 From: Makakilo Posts: 3 Thanks: 0  Repeated numbers
I was working on this problem and I was wondering if there is a way I can prove this using the same methods as repeated decimals to rational fractions?

July 31st, 2017, 06:43 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,642 Thanks: 959 Math Focus: Elementary mathematics and beyond 
Perhaps a concrete example will help... 111111  222 = 111(1001)  2(111) = 111(1001  2) = 111 * 999 = 111 * 3 * 333 = 333 * 333 

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