Part 1: Do you hate fractions?  The way they just sit there so smug over their exactness?  The way the denominator lets the numerator walk all over it?  Well, this SIMMER is for you, because we're going to talk about decimals!  We'll take a look at the series of digits making up the decimal expansions of various fractions, thinking about when they terminate and when they repeat and trying to understand how long it takes the decimal expansions to start repeating. Surprisingly, we'll find connections to topics such as Euler's phi function and factorizations of numbers.

Part 2: Do you hate decimals?  The way they take up so much space?  The way they just go on and on and on, never stopping to let anyone get a digit in edgewise?  Well, this SIMMER is for you, because we're going to talk about fractions!  We'll take a look at the series of numbers making up the continued fraction representation of various numbers, thinking about when they terminate and when they repeat and trying to understand how to calculate the continued fractions in the first place. Surprisingly, we'll find connections to topics such as the Euclidean algorithm and the quadratic formula.