In this note it is shown, by a counterexample, that the familiar theorem on the continued fraction expansions of equivalent numbers does not hold when these notions are extended to complex numbers.

Looking at this fraction is a little bit different than looking at the other complex fractions that we've dealt with. However, we can make it look like the other complex fractions. But first of all, ...

The common mistake number five is that students often flip the denominator or multiply by the reciprocal too early. Let me go ahead and show you the mistake that you look at a complex fraction and say ...

Fractions are the basis for most higher-level mathematics. Students need to master the numerical values in earlier grades to tackle topics like algebra later. There’s only one hitch: Fractions can ...