This was my thought too. If 1/89 in base 10 works, and 89 in the 10th unique term of the series > 1,1,2,3,5,8,13,21,34,55,89,144,... then does 1/144 work in b

This was my thought too. If 1/89 in base 10 works, and 89 in the 10th unique term of the series > 1,1,2,3,5,8,13,21,34,55,89,144,... then does 1/144 work in base 11, and 1/233 in base 12? Assuming we of course translate the base-10 number 144 to the appropriate base-11 number (121) first. I'm too bad at math to do this anymore, maybe someone else can tell us ;)