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?

1/11=0.090909.....  and 1/9 =.111111...... is one of the examples with fewer digits.

 

Edited on February 22, 2008, 12:57 pm

Posted by K Sengupta on 2008-02-21 14:21:06