WOLFRAM|DEMONSTRATIONS PROJECT

Fraction Tree and Continued Fractions

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goal
5
8
⤒
↑
↙
↘
new
maximum denominator
15
instructions
fraction tree
ordering
mediant
continued fraction
plotted fractions
This Demonstration is a game for exploring connections between the Stern–Brocot tree and continued fractions.
The primary challenge is to reach a destination fraction in the tree using the arrow buttons. You can follow your progress with the "fraction tree" tab.
Once you have figured out how the fraction tree works, try to solve problems using the other tabs. Use the arrow buttons to change your position in the Stern–Brocot tree. Your position in the tree will change even while using other tabs.