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?

Would 9 and 11 be an example?

1/9 = .11111111111111111

1/11 = .090909090909



More fun stuff:

9/11 = .81818181 (81 = 9 x 9)

27/37 = .729729729729 (729 = 27 x 27)

Posted by RandyOrton on 2004-11-24 13:05:15