Wednesday, May 26, 2021

FamousMathProbs: How to set up fractions (English)

The computational challenge

Having a theoretical framework for fractions is well and good, but what are the computational challenges? Arithmetic with fractions is notoriously complicated for most learners, and we need to inquire into why, and how can we address these difficulties. These issues actually also figure prominently in rational trigonometry.

In fact primary school education has to incorporate additional technology just to get students being able to work with fractions. A key ingredient is Euclid's division lemma to set up mixed fractions.

https://www.youtube.com/watch?v=DaNp1kPFPxU




Canonical forms via the Euclidean Algorithm


See also:
The relation between fractions and other number systems.

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