Continued fraction

en

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Continued fraction

Quality:

Generalized continued fraction - generalization of continued fractions in which the partial numerators and partial denominators can assume arbitrary complex values. Article “Continued fraction” in English Wikipedia has 47.2 points for quality (as of July 1, 2025). The article contains 22 references and 23 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Continued fraction”, its content was written by 116 registered users of English Wikipedia and edited by 146 registered Wikipedia users in all languages.

The article is cited 311 times in English Wikipedia and cited 437 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21060 in November 2024
  • Global: #61000 in April 2005

The highest popularity rank from 2008:

  • Local (English): #63948 in October 2024
  • Global: #121922 in October 2024

There are 8 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Continued fraction
47.1581
2Galician (gl)
Fracción continua xeneralizada
30.1869
3Spanish (es)
Fracción continua generalizada
28.0267
4French (fr)
Fraction continue généralisée
19.7331
5Persian (fa)
کسر مسلسل تعمیم یافته
17.8356
6Slovenian (sl)
Posplošeni verižni ulomek
14.5607
7Indonesian (id)
Pecahan berlanjut
9.721
8Arabic (ar)
كسر مستمر معمم
0.1254
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Continued fraction" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Continued fraction
1 110 833
2Spanish (es)
Fracción continua generalizada
50 998
3French (fr)
Fraction continue généralisée
22 414
4Arabic (ar)
كسر مستمر معمم
3 603
5Persian (fa)
کسر مسلسل تعمیم یافته
1 696
6Slovenian (sl)
Posplošeni verižni ulomek
1 533
7Indonesian (id)
Pecahan berlanjut
1 350
8Galician (gl)
Fracción continua xeneralizada
260
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Continued fraction" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Continued fraction
9 434
2French (fr)
Fraction continue généralisée
162
3Arabic (ar)
كسر مستمر معمم
97
4Spanish (es)
Fracción continua generalizada
48
5Persian (fa)
کسر مسلسل تعمیم یافته
25
6Indonesian (id)
Pecahan berlanjut
20
7Galician (gl)
Fracción continua xeneralizada
12
8Slovenian (sl)
Posplošeni verižni ulomek
10
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Continued fraction" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Continued fraction
116
2Spanish (es)
Fracción continua generalizada
11
3French (fr)
Fraction continue généralisée
7
4Arabic (ar)
كسر مستمر معمم
3
5Persian (fa)
کسر مسلسل تعمیم یافته
3
6Indonesian (id)
Pecahan berlanjut
3
7Galician (gl)
Fracción continua xeneralizada
2
8Slovenian (sl)
Posplošeni verižni ulomek
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Continued fraction" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
كسر مستمر معمم
0
2English (en)
Continued fraction
0
3Spanish (es)
Fracción continua generalizada
0
4Persian (fa)
کسر مسلسل تعمیم یافته
0
5French (fr)
Fraction continue généralisée
0
6Galician (gl)
Fracción continua xeneralizada
0
7Indonesian (id)
Pecahan berlanjut
0
8Slovenian (sl)
Posplošeni verižni ulomek
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Continued fraction" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Continued fraction
311
2French (fr)
Fraction continue généralisée
48
3Indonesian (id)
Pecahan berlanjut
32
4Spanish (es)
Fracción continua generalizada
13
5Galician (gl)
Fracción continua xeneralizada
11
6Slovenian (sl)
Posplošeni verižni ulomek
10
7Arabic (ar)
كسر مستمر معمم
8
8Persian (fa)
کسر مسلسل تعمیم یافته
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
كسر مستمر معمم
enEnglish
Continued fraction
esSpanish
Fracción continua generalizada
faPersian
کسر مسلسل تعمیم یافته
frFrench
Fraction continue généralisée
glGalician
Fracción continua xeneralizada
idIndonesian
Pecahan berlanjut
slSlovenian
Posplošeni verižni ulomek

Popularity rank trends

Best Rank English:
#63948
10.2024
Global:
#121922
10.2024

AI rank trends

Best Rank English:
#21060
11.2024
Global:
#61000
04.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Generalized continued fraction from Wikipedia articles about Srinivasa Ramanujan, Pells equation, Continued fraction, Diophantine approximation and Proof that π is irrational. Whereas reading the article about Generalized continued fraction people most often go to Wikipedia articles on Continued fraction, Eulers continued fraction formula, Gausss continued fraction, Euclidean algorithm and Solving quadratic equations with continued fractions.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information