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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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Hints/Tips more examples | Comment 2 of 17 |
I think it works with 18 too:

18:

1/18 = .0555555555555555

1/55 = .01818181818181818


9, 18, 27 are all multiples of 9, but 36 doesnt work I dont think. 45 and 22 work. 54 and 18.5 work.



  Posted by RandyOrton on 2004-11-24 13:15:02
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