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 999999999999999 by sragen)

An example using 999999999999999 is

1/344096559=0.000000002906161000000002906161000000002906161000000002906161...

and 1/2906161=0.000000344096559000000344096559000000344096559000000344096559...

as 999999999999999 factors into 3, 3, 3, 31, 37, 41, 271 and 2906161

Posted by Charlie on 2004-11-27 16:30:01