Or search by topic
Suppose 0 < a < b. Which of the following continued fractions is bigger and why?
\frac{1}{2+\frac{1}{3+\frac{1}{a}}}
Solve quadratic equations and use continued fractions to find rational approximations to irrational numbers.
Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?