See all short problems arranged by curriculum topic in the short problems collection

Given that $$\eqalign{ x &= \frac{111110}{111111}, \\ y &= \frac{222221}{222223}, \\ z &= \frac{333331}{333334},}$$ which is the largest number and which is the smallest?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.*