# Resources tagged with: Continued fractions

### There are 8 results

Broad Topics >

Fractions, Decimals, Percentages, Ratio and Proportion > Continued fractions

##### Age 11 to 16 Challenge Level:

It would be nice to have a strategy for disentangling any tangled ropes...

##### Age 11 to 16

A personal investigation of Conway's Rational Tangles. What were
the interesting questions that needed to be asked, and where did
they lead?

##### Age 14 to 18 Challenge Level:

Which rational numbers cannot be written in the form x + 1/(y +
1/z) where x, y and z are integers?

##### Age 14 to 18 Challenge Level:

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?

##### Age 14 to 18 Challenge Level:

Can you tangle yourself up and reach any fraction?

##### Age 14 to 16

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.

##### Age 14 to 16

The tangles created by the twists and turns of the Conway rope
trick are surprisingly symmetrical. Here's why!

##### Age 14 to 18

An article introducing continued fractions with some simple puzzles for the reader.