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Find Friendly Fractions! (Posted on 2004-11-24) Difficulty: 2 of 5
Can you explain the relationship between 27 and 37 that produces 1/27=0.037037037... and 1/37=0.027027027...? (That is, each number forms the other number's repeating decimal.)

Can you provide other similar examples, possibly with more or fewer digits?

See The Solution Submitted by Old Original Oskar!    
Rating: 3.5455 (11 votes)

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Some Thoughts some thoughts iv Comment 17 of 17 |
(In reply to some thoughts iii by K Sengupta)

            _
1/3=0.3
                                     _____________
1/33333333333 = 0.00000000003

            _
1/9=0.1
                                   _____________
1/11111111111=0.00000000001

                       ______________
1/21649 = 0.00004619151
                            _____________
1/4619151 = 0.00000021649

                     ______________
1/64947=0.00001539717
                           ______________
1/1539717 = 0.00000064947

                         ______________
1/513239 = 0.00000194841
                         ______________
1/194841 = 0.00000513239



Edited on April 8, 2022, 12:11 am
  Posted by K Sengupta on 2022-04-08 00:07:28

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