Division

We think for this stuff it’s actually quicker for you to see it, than for us to talk about it. We might include some Talk at the end so you can feel comfortable that what you saw was what we wanted you to see.

\dfrac{\dfrac{a}{1}}{\dfrac{1}{1}}=\dfrac{a}{1}=a

\dfrac{\dfrac{1}{a}}{\dfrac{1}{1}}=\dfrac{1}{a}

\dfrac{\dfrac{1}{1}}{\dfrac{a}{1}}=\dfrac{\dfrac{1}{1}}{a}=\dfrac{1}{a}

\dfrac{\dfrac{1}{1}}{\dfrac{1}{a}}=\dfrac{a}{1}=a

  • The numerator of a numerator is a numerator.
  • The denominator of a numerator is a denominator.
  • The numerator of a denominator is a denominator.
  • The denominator of a denominator is a numerator.

a\dfrac{b}{c}=\dfrac{ab}{c}

  • A coefficient can move to the numerator.