Tool to compute continued fractions. A continued fraction is the representation of a number N in a form of a series of integers (a0, a1, ..., an) such as N = (a0+1/(a1+1/(a2+1/(...1/(an))).

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How to calculate the continued fraction of a root?

Calculate an approximate value of the root (approximation as accurate as possible) and dCode will provide the corresponding continuous fraction.

How to write a continued fraction in LaTex?

The easiest way is to use cfrac: $$ e=2+\cfrac{1}{1+\cfrac{1}{2+\cfrac{1}{ 1+\cfrac{1}{1+\cfrac{1}{4+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{6+\cdots}}}}}}}} $$

But the shortest way is to write $$ e = [2 ; 1, 2, 1, 1, 4, 1, 1, 6, \cdots] $$

Which are the most remarquable continued fractions?

Most known continued fractions are:

— Square Root of 2: $ \sqrt{2} = [1;2,2,2,2,2,\cdots] $

— Golden Ratio: $ \Phi = [1;1,1,1,1,1,\cdots] $

Source code

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Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Continued Fractions' tool, so feel free to write! Thank you!

Thanks to your feedback and relevant comments, dCode has developed the best 'Continued Fractions' tool, so feel free to write! Thank you!