Fraction (English Wikipedia)

"built fraction". allbusiness.com glossary. Archived from the original on 2013-05-26. Retrieved 2013-06-18.
"piece fraction". allbusiness.com glossary. Archived from the original on 2013-05-21. Retrieved 2013-06-18.

ams.org (Global: 434^th place; English: 249^th place)

H. Wu, "The Mis-Education of Mathematics Teachers", Notices of the American Mathematical Society, Volume 58, Issue 03 (March 2011), p. 374. Archived 2017-08-20 at the Wayback Machine.

archive.org (Global: 6^th place; English: 6^th place)

Schwartzman, Steven (1994). The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English. Mathematical Association of America. ISBN 978-0-88385-511-9.
Wingard-Nelson, Rebecca (2014). Ready for Fractions and Decimals. Enslow. p. 14. ISBN 978-0-7660-4247-6. When you read a mixed number out loud, you say the whole number, the word and, then the fraction. The mixed number ⁠2+1/4⁠ is read as two and one fourth.
Wu, Hung-Hsi (2011). Understanding Numbers in Elementary School Mathematics. American Mathematical Society. §14.3 Mixed Numbers, pp. 225–227. ISBN 978-0-8218-5260-6.
Schoenborn, Barry; Simkins, Bradley (2010). "8. Fun with Fractions". Technical Math For Dummies. Hoboken: Wiley Publishing Inc. p. 120. ISBN 978-0-470-59874-0. OCLC 719886424. Retrieved 28 September 2020.
Cajori, Florian (1928). A History of Mathematical Notations. Vol. 1. La Salle, Illinois: Open Court Publishing Company. p. 269. Archived from the original on 2014-04-14. Retrieved 2017-08-30.

books.google.com (Global: 3^rd place; English: 3^rd place)

Ambrose, Gavin; et al. (2006). The Fundamentals of Typography (2nd ed.). Lausanne: AVA Publishing. p. 74. ISBN 978-2-940411-76-4. Archived from the original on 2016-03-04. Retrieved 2016-02-20..
David E. Smith (1 June 1958). History of Mathematics. Courier Corporation. p. 219. ISBN 978-0-486-20430-7. {{cite book}}: ISBN / Date incompatibility (help)
Jack Williams (19 November 2011). Robert Recorde: Tudor Polymath, Expositor and Practitioner of Computation. Springer Science & Business Media. pp. 87–. ISBN 978-0-85729-862-1.
Record, Robert (1654). Record's Arithmetick: Or, the Ground of Arts: Teaching the Perfect Work and Practise of Arithmetick ... Made by Mr. Robert Record ... Afterward Augmented by Mr. John Dee. And Since Enlarged with a Third Part of Rules of Practise ... By John Mellis. And Now Diligently Perused, Corrected ... and Enlarged; with an Appendix of Figurative Numbers ... with Tables of Board and Timber Measure ... the First Calculated by R. C. But Corrected, and the Latter ... Calculated by Ro. Hartwell ... James Flesher, and are to be sold by Edward Dod. pp. 266–.
Greer, A. (1986). New comprehensive mathematics for 'O' level (2nd ed., reprinted ed.). Cheltenham: Thornes. p. 5. ISBN 978-0-85950-159-0. Archived from the original on 2019-01-19. Retrieved 2014-07-29.
Kelley, W. Michael (2004). The Complete Idiot's Guide to Algebra. Penguin. p. 25. ISBN 9781592571611.
Trotter, James (1853). A complete system of arithmetic. p. 65.
Barlow, Peter (1814). A new mathematical and philosophical dictionary.

collinsdictionary.com (Global: 1,831^st place; English: 1,216^th place)

"complex fraction". Collins English Dictionary. Archived from the original on 2017-12-01. Retrieved 29 August 2022.
"Complex fraction definition and meaning". Collins English Dictionary. 2018-03-09. Archived from the original on 2017-12-01. Retrieved 2018-03-13.

corestandards.org (Global: low place; English: low place)

"Common Core State Standards for Mathematics" (PDF). Common Core State Standards Initiative. 2010. p. 85. Archived (PDF) from the original on 2013-10-19. Retrieved 2013-10-10.

cuni.cz (Global: 2,654^th place; English: 5,018^th place)

physics.mff.cuni.cz

Sýkorová, I. (2010), Fractions in Ancient Indian Mathematics (PDF), vol. 1, p. 1{{citation}}: CS1 maint: url-status (link)

doi.org (Global: 2^nd place; English: 2^nd place)

Perry, Owen; Perry, Joyce (1981). "Chapter 2: Common fractions". Mathematics I. Palgrave Macmillan UK. pp. 13–25. doi:10.1007/978-1-349-05230-1_2.
Gardiner, Tony (2016). Teaching Mathematics at Secondary Level. OBP Series in Mathematics. Vol. 2. Open Book Publishers. p. 89. doi:10.11647/OBP.0071. ISBN 9781783741373.
Lee, Mary A; Messner, Shelley J. (2000). "Analysis of concatenations and order of operations in written mathematics". School Science and Mathematics. 100 (4): 173–180. doi:10.1111/j.1949-8594.2000.tb17254.x. ProQuest 195210281. College students have had many years of high school and perhaps college experience in which multiplication has been the implied operation in concatenations such as 4x, with little classroom experience with mixed numbers, so that for them, when returning to mixed number forms, they apply their recent knowledge of multiplication as the implied operation in concatenation to the 'new' situation of mixed numbers.
Galen, Leslie Blackwell (March 2004). "Putting Fractions in Their Place" (PDF). American Mathematical Monthly. 111 (3): 238–242. doi:10.2307/4145131. JSTOR 4145131. Archived (PDF) from the original on 2011-07-13. Retrieved 2010-01-27.
Curtis, Lorenzo J. (1978). "Concept of the exponential law prior to 1900". American Journal of Physics. 46 (9): 896–906. Bibcode:1978AmJPh..46..896C. doi:10.1119/1.11512.
Filliozat, Pierre-Sylvain (2004). "Ancient Sanskrit Mathematics: An Oral Tradition and a Written Literature". In Chemla, Karine; Cohen, Robert S.; Renn, Jürgen; et al. (eds.). History of Science, History of Text. Boston Series in the Philosophy of Science. Vol. 238. Dordrecht: Springer Netherlands. p. 152. doi:10.1007/1-4020-2321-9_7. ISBN 978-1-4020-2320-0.

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

"Fraction". Encyclopedia of Mathematics. 2012-04-06. Archived from the original on 2014-10-21. Retrieved 2012-08-15.

integretechpub.com (Global: low place; English: low place)

Galen, Leslie Blackwell (March 2004). "Putting Fractions in Their Place" (PDF). American Mathematical Monthly. 111 (3): 238–242. doi:10.2307/4145131. JSTOR 4145131. Archived (PDF) from the original on 2011-07-13. Retrieved 2010-01-27.

jstor.org (Global: 23^rd place; English: 15^th place)

Galen, Leslie Blackwell (March 2004). "Putting Fractions in Their Place" (PDF). American Mathematical Monthly. 111 (3): 238–242. doi:10.2307/4145131. JSTOR 4145131. Archived (PDF) from the original on 2011-07-13. Retrieved 2010-01-27.

mathforum.org (Global: low place; English: low place)

Laurel Brenner; Peterson (31 March 2004). "Ask Dr. Math: Can Negative Fractions Also Be Proper or Improper?". Math Forum. Archived from the original on 9 November 2014. Retrieved 2014-10-30.

mathsisfun.com (Global: low place; English: low place)

"Fractions". www.mathsisfun.com. Retrieved 2020-08-27.

necompact.org (Global: low place; English: low place)

"Proper Fraction". New England Compact Math Resources. Archived from the original on 2012-04-15. Retrieved 2011-12-31.

proquest.com (Global: 121^st place; English: 59^th place)

Easterday, Kenneth E. (Winter 1982). "One-hundred fifty years of vulgar fractions". Contemporary Education. 53 (2): 83–88. ProQuest 1291644250.
Lee, Mary A; Messner, Shelley J. (2000). "Analysis of concatenations and order of operations in written mathematics". School Science and Mathematics. 100 (4): 173–180. doi:10.1111/j.1949-8594.2000.tb17254.x. ProQuest 195210281. College students have had many years of high school and perhaps college experience in which multiplication has been the implied operation in concatenations such as 4x, with little classroom experience with mixed numbers, so that for them, when returning to mixed number forms, they apply their recent knowledge of multiplication as the implied operation in concatenation to the 'new' situation of mixed numbers.

sosmath.com (Global: low place; English: low place)

"Compound Fractions". Sosmath.com. 1996-02-05. Archived from the original on 2018-03-14. Retrieved 2018-03-13.

st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)

www-history.mcs.st-andrews.ac.uk

"MacTutor's al-Uqlidisi biography". Archived 2011-11-15 at the Wayback Machine. Retrieved 2011-11-22.

tripod.com (Global: 666^th place; English: 543^rd place)

jeff560.tripod.com

Miller, Jeff (22 December 2014). "Earliest Uses of Various Mathematical Symbols". Archived from the original on 20 February 2016. Retrieved 15 February 2016.

web.archive.org (Global: 1^st place; English: 1^st place)

H. Wu, "The Mis-Education of Mathematics Teachers", Notices of the American Mathematical Society, Volume 58, Issue 03 (March 2011), p. 374. Archived 2017-08-20 at the Wayback Machine.
Ambrose, Gavin; et al. (2006). The Fundamentals of Typography (2nd ed.). Lausanne: AVA Publishing. p. 74. ISBN 978-2-940411-76-4. Archived from the original on 2016-03-04. Retrieved 2016-02-20..
Laurel Brenner; Peterson (31 March 2004). "Ask Dr. Math: Can Negative Fractions Also Be Proper or Improper?". Math Forum. Archived from the original on 9 November 2014. Retrieved 2014-10-30.
"Proper Fraction". New England Compact Math Resources. Archived from the original on 2012-04-15. Retrieved 2011-12-31.
Greer, A. (1986). New comprehensive mathematics for 'O' level (2nd ed., reprinted ed.). Cheltenham: Thornes. p. 5. ISBN 978-0-85950-159-0. Archived from the original on 2019-01-19. Retrieved 2014-07-29.
"complex fraction". Collins English Dictionary. Archived from the original on 2017-12-01. Retrieved 29 August 2022.
"Complex fraction definition and meaning". Collins English Dictionary. 2018-03-09. Archived from the original on 2017-12-01. Retrieved 2018-03-13.
"Compound Fractions". Sosmath.com. 1996-02-05. Archived from the original on 2018-03-14. Retrieved 2018-03-13.
"Fraction". Encyclopedia of Mathematics. 2012-04-06. Archived from the original on 2014-10-21. Retrieved 2012-08-15.
Galen, Leslie Blackwell (March 2004). "Putting Fractions in Their Place" (PDF). American Mathematical Monthly. 111 (3): 238–242. doi:10.2307/4145131. JSTOR 4145131. Archived (PDF) from the original on 2011-07-13. Retrieved 2010-01-27.
"built fraction". allbusiness.com glossary. Archived from the original on 2013-05-26. Retrieved 2013-06-18.
"piece fraction". allbusiness.com glossary. Archived from the original on 2013-05-21. Retrieved 2013-06-18.
Miller, Jeff (22 December 2014). "Earliest Uses of Various Mathematical Symbols". Archived from the original on 20 February 2016. Retrieved 15 February 2016.
Cajori, Florian (1928). A History of Mathematical Notations. Vol. 1. La Salle, Illinois: Open Court Publishing Company. p. 269. Archived from the original on 2014-04-14. Retrieved 2017-08-30.
"MacTutor's al-Uqlidisi biography". Archived 2011-11-15 at the Wayback Machine. Retrieved 2011-11-22.
"Common Core State Standards for Mathematics" (PDF). Common Core State Standards Initiative. 2010. p. 85. Archived (PDF) from the original on 2013-10-19. Retrieved 2013-10-10.

wiktionary.org (Global: 1,064^th place; English: 1,160^th place)

en.wiktionary.org

Some typographers such as Bringhurst mistakenly distinguish the slash ⟨/⟩ as the virgule and the fraction slash ⟨⁄⟩ as the solidus,^[6] although in fact both are synonyms for the standard slash.^[7]^[8]

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Schoenborn, Barry; Simkins, Bradley (2010). "8. Fun with Fractions". Technical Math For Dummies. Hoboken: Wiley Publishing Inc. p. 120. ISBN 978-0-470-59874-0. OCLC 719886424. Retrieved 28 September 2020.

Fraction (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

ui.adsabs.harvard.edu

allbusiness.com (Global: 4,101st place; English: 2,427th place)

ams.org (Global: 434th place; English: 249th place)

archive.org (Global: 6th place; English: 6th place)

books.google.com (Global: 3rd place; English: 3rd place)

collinsdictionary.com (Global: 1,831st place; English: 1,216th place)

corestandards.org (Global: low place; English: low place)

cuni.cz (Global: 2,654th place; English: 5,018th place)

physics.mff.cuni.cz

doi.org (Global: 2nd place; English: 2nd place)

encyclopediaofmath.org (Global: 7,049th place; English: 5,456th place)

integretechpub.com (Global: low place; English: low place)

jstor.org (Global: 23rd place; English: 15th place)

mathforum.org (Global: low place; English: low place)

mathsisfun.com (Global: low place; English: low place)

necompact.org (Global: low place; English: low place)

proquest.com (Global: 121st place; English: 59th place)

sosmath.com (Global: low place; English: low place)

st-andrews.ac.uk (Global: 1,053rd place; English: 1,274th place)

www-history.mcs.st-andrews.ac.uk

tripod.com (Global: 666th place; English: 543rd place)

jeff560.tripod.com

web.archive.org (Global: 1st place; English: 1st place)

wiktionary.org (Global: 1,064th place; English: 1,160th place)

en.wiktionary.org

worldcat.org (Global: 4th place; English: 4th place)

search.worldcat.org

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

allbusiness.com (Global: 4,101^st place; English: 2,427^th place)

ams.org (Global: 434^th place; English: 249^th place)

archive.org (Global: 6^th place; English: 6^th place)

books.google.com (Global: 3^rd place; English: 3^rd place)

collinsdictionary.com (Global: 1,831^st place; English: 1,216^th place)

cuni.cz (Global: 2,654^th place; English: 5,018^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

jstor.org (Global: 23^rd place; English: 15^th place)

proquest.com (Global: 121^st place; English: 59^th place)

st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)

tripod.com (Global: 666^th place; English: 543^rd place)

web.archive.org (Global: 1^st place; English: 1^st place)

wiktionary.org (Global: 1,064^th place; English: 1,160^th place)

worldcat.org (Global: 4^th place; English: 4^th place)