Numerator or Denominator: Which has more power in a fraction?

What do you do with students who already get their fraction operations? Give them a contrived project about recipes or pizza slices? Make them solve annoyingly hard practice problems? Please. Here, we get students thinking in a whole new way, pondering which has more power, the numerator or denominator.

Fraction Ordering Tournament

Which set of fractions would be the trickiest to order from least to greatest? Let’s have a tournament!