Resources tagged with: Continued fractions
There are 17 NRICH Mathematical resources connected to Continued fractions, you may find related items under Fractions, decimals, percentages, ratio and proportion.
Broad Topics > Fractions, decimals, percentages, ratio and proportion > Continued fractions
More Twisting and Turning
It would be nice to have a strategy for disentangling any tangled ropes...
There's a Limit
Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
Symmetric Tangles
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
Tangles
A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?
Resistance
Find the equation from which to calculate the resistance of an infinite network of resistances.
Euclid's Algorithm and Musical Intervals
Use Euclid's algorithm to get a rational approximation to the number of major thirds in an octave.
Golden Mathematics
A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.
The Golden Ratio, Fibonacci Numbers and Continued Fractions.
An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.
Golden Fractions
Find the link between a sequence of continued fractions and the ratio of succesive Fibonacci numbers.
Infinite Continued Fractions
In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.
Approximations, Euclid's Algorithm & Continued Fractions
This article sets some puzzles and describes how Euclid's algorithm and continued fractions are related.
Continued Fractions II
In this article we show that every whole number can be written as a continued fraction of the form k/(1+k/(1+k/...)).
Continued Fractions I
An article introducing continued fractions with some simple puzzles for the reader.
Comparing Continued Fractions
Which of these continued fractions is bigger and why?
Not Continued Fractions
Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?
Good Approximations
Solve quadratic equations and use continued fractions to find rational approximations to irrational numbers.