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?

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