You're assuming that the period will remain of manageable size. I see no reason why this should be the case. Edit: Also found a more accessible website describ

You're assuming that the period will remain of manageable size. I see no reason why this should be the case. Edit: Also found a more accessible website describing how to do arithmetic with continued fractions: https://perl.plover.com/yak/cftalk/ https://perl.plover.com/yak/cftalk/. In case anyone wants to try it out.