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 fun and a reason
The number of digits in the repeating pattern are the same as the number of 9's in the product of the two friendly fractions.
Finding repeating patterns of 3-5 digits is not too difficult, but finding interesting divisors of 999999999 is a bit more difficult.
Edited on November 24, 2004, 4:07 pm
Edited on November 24, 2004, 5:18 pm
Posted by Erik O.
on 2004-11-24 16:07:25