Let *x* be the given real number. The first step in finding the continued
fraction for *x* is to find the largest integer *a* less than or equal
to *x.* Sometimes this is called the "greatest integer" in *x* and sometimes it's called the "floor" of *x*. We'll call it the floor. For
example, the floor of 7/3 is 2. Note that the floor of an integer is that integer
itself. For example, the floor of 3 is 3.

This figure utilizes the Geometry Applet.

April, 2006.

David E. Joyce

Department of Mathematics and Computer Science

Clark University

Worcester, MA 01610

The address of this file is http://aleph0.clarku.edu/~djoyce/java/Geometry/contfract.html