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

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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.


Students determine which has more power: a fraction's numerator or its denominator.


  1. First, they consider when comparing fractions, which has more power: the numerator or denominator.
  2. Then, they consider adding and subtracting fractions.
  3. They consider multiplying and dividing fractions.
  4. Finally, students will make an overall decision. Depending on what you'd like to do, students can expand their thinking into an advertisement, story, song, persuasive essay, or other product.

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