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?

(In reply to more examples by RandyOrton)

I won't burst the fun, but this is very clever! I got to the point of understanding by looking at two general summation equalities, but I think a long look at Randy's first example of 1 and 9 may also be enough.

Posted by owl on 2004-11-24 14:23:50