What fractions can you find between the square roots of 65 and 67?
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?
Congratulations to Alice who sent in a correct solution to this problem:
Congratulations to Ray who also worked on this problem and sent us the following result: