For our first week of the year, we'll be working on a handout containing olympiad problems from a long time ago. The problems do not follow any particular theme other than general knowledge of algebra.
This week we'll develop a theory for converting fractions to decimals and vice versa. Everyone knows that lots of things can be represented by both a fraction or decimal, but most people are at least a little fuzzy on how the two are related. This week we'll cut through the fuzz and by the end you'll be a pro at fractions and decimals.