I first read about continued fractions in HAKMEM from 1972. These things have fascinated programmers for decades.
https://web.archive.org/web/20190906055006/http://home.pipel...
https://web.archive.org/web/20190906055006/http://home.pipel...
> Abstract: Contrary to everybody, this self contained paper will show that continued fractions are not only perfectly amenable to arithmetic, they are amenable to perfect arithmetic.