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A periodical fraction (Posted on 2014-07-11) Difficulty: 3 of 5
GO/IN=.FIXFIXFIX...

Find the only existing solution.

See The Solution Submitted by Ady TZIDON    
Rating: 1.5000 (2 votes)

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Solution Solution | Comment 2 of 3 |

See http://perplexus.info/show.php?pid=7570&cid=46819 for the method.

kx+1=1000; k=27,x=37, so IN is one of these, GO= 27*.F2X... or GO=37*F3X.

From Excel, 17/27 = 0.6296296, 25/27 = 0.9259259 but both 17 and 25 share a digit with 27.

Also, 5/37 = 0.1351351, 16/37 = 0.4324324, 31/37 = 0.8378378, but of these only 16 is long enough and also does not share a digit with 37.

So: 16/37 = 432432432... is the required solution.


  Posted by broll on 2014-07-12 01:01:37
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