How to set up fractions III - canonical forms via the Euclidean Algorithm | FamousMathProbs24c | NJW

In order to deal with fractions smoothly, young students need to learn about canonical forms for fractions --where the numerators and denominators don't have any common divisors. But actually this involves going back to a fundamental procedure from ancient Greece -- the Euclidean Algorithm.

Curiously, this is originally a geometric phenomenon in the context of the ancient Greek "arithmetic with line segments". But it also has an important more modern arithmetical form.

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Old Babylonian Mathematics (with Daniel Mansfield): https://www.youtube.com/playlist?
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Math History: https://www.youtube.com/playlist?list=PL55C7C83781CF4316
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Universal Hyperbolic Geometry: https://www.youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
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Algebraic Calculus One: https://www.youtube.com/playlist?list=PLzdiPTrEWyz4rKFN541wFKvKPSg5Ea6XB
Algebraic Calculus Two: https://www.youtube.com/playlist?list=PLzdiPTrEWyz5VLVr-0LPPgm4T1mtU_DG-

Видео How to set up fractions III - canonical forms via the Euclidean Algorithm | FamousMathProbs24c | NJW канала Insights into Mathematics