©2021 Compass Learning Technologies ← GXWeb Jigsaws and Quizzes ← GXWeb Fractured Fractions → GXWeb Fractured Fractions Jigsaw
GXWeb Fractured Fractions Jigsaw
Saltire Software, home of Geometry Expressions and GXWeb
Symbolic computations on this page use Nerdamer Symbolic JavaScript to complement the in-built CAS of GXWeb
Chaos in Numberland: The secret life of continued fractions by John D. Barrow
Explore Bill Gosper (1972): Continued Fraction Arithmetic
Calkin and Wilf (1999): Recounting the Rationals
Try the full Fractured Fractions Jigsaw
Welcome to the Fractured Fractions Jigsaw!
Begin with the JigSaw: Just rearrange the squares to fill the given rectangle, and then press INPUT (or the JIGSAW button again) to enter your answer.
Then go on and explore some of the wonderful connections between continued fractions and some surprising and important corners of mathematics. Did you know, for example, that fractions grow on trees?
With special thanks to Dr Keith Tognetti of the University of Wollongong for pointing me in the direction of these wonderful numbers and igniting in me a life-long passion.
Continue your fractured fractions journey...
Introduction
If you have not come across continued fractions in your mathematical travels, then it is high time you did!
Every real number, rational and irrational, can be represented as a continued fraction. While normal fractions can only represent rational numbers, continued fractions are different - full of surprising patterns and relationships.
Mathematical ToolBox
Explore Further: Continued Fractions, Farey Numbers and Fraction Trees
Share with Different Senses
Construct your own Model with GXWeb
Behind the Scenes
©2021 Compass Learning Technologies ← GXWeb Showcase ← GXWeb Jigsaws and Quizzes ← GXWeb Fractured Fractions ← GXWeb Fractured Fractions Jigsaw