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Continued Fractions

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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Continued Fractions -

Tag(s) : Mathematics

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# Continued Fractions

## Continued Fraction Calculator

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))).

### How to calculate a continued fraction?

Continued fraction expansion is close to algorithm of euclidean division, as for PGCD.

Consider the fraction $$355/113 = 3.14159292035...$$ $$355 = 3 \times 113 + 16 \\ 113 = 7 \times 16 + 1 \\ 16 = 16 \times 1 + 0$$

The continued fraction is [3,7,16]

### How to calculate the continued fraction of a root?

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

## Source code

dCode retains ownership of the source code of the script Continued Fractions. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Continued Fractions script for offline use, for you, your company or association, see you on contact page !

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Continued Fractions tool. Thank you.

Source : http://www.dcode.fr/continued-fractions
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