Arithmetic With... Continued Fractions??

Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math.

This is my submission for SoME2 (   • Summer of Math Exposition 2 Invitation  )

SOURCES & FURTHER READING:

Continued Fraction Arithmetic (1977)
Speculatively Redundant Continued Logarithm Representation (2010)
Finite Precision Number Systems Arithmetic (2010)
CONTINUED FRACTIONS FOR HIGH-SPEED AND HIGH-ACCURACY COMPUTER ARITHMETIC (1983)
Hardware Implementation of Continued Logarithm Arithmetic (2006)
Exact Arithmetic on the Stern-Brocot Tree (2003)
Continued Logarithms And Associated Continued Fractions (2016)
Generalized Continued Logarithms and Related Continued Fractions (2017)
High-Precision Arithmetic and Mathematical Physics (2015)