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Fractions and Calculation

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Numbers Through the Ages
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Abstract

In spoken English certain simple fractions like 1/2 or 1/4 or 3/4 have special names. We do not say ‘one-fourth’ but one quarter, and 1/2 is pronounced as one half. The French have a special name tiers for 1/3 Fractions of this kind, which serve the purposes of everyday life, may be called natural fractions.

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Notes And References

  1. Yale Babylonian Collection (YBC) 10529. The text is reproduced in O. Neugebauer and A. Sachs, Mathematical Cuneiform Texts (Newhaven, Connecticut, 1945) p. 16.

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  2. For a discussion of the Euclidean algorithm see, for example, C.B. Boyer, A History of Mathematics (Wiley, 1968) pp. 126–7.

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  3. From Datta and Singh, History of Hindu Mathematics, Part 1 (Asia Publishing House, 1962) p. 189.

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  4. Ibid., p. 190.

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  5. Ibid., p. 196.

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  6. Ibid., p. 196.

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  7. Ibid., p. 198.

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  8. Ibid., p. 188.

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  9. Ibid., p. 170.

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  10. For example, ibid., pp. 155–60.

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  11. Ibid., p. 160.

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  12. Ibid., p. 161.

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  13. From Datta and Singh, op. cit., pp. 291–20.

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  14. See P. Luckey, Der Lehrbrief uber Kreisumfrang von Gamsid b. Mas’ud al-Kashi (Berlin, 1953).

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  15. See A. P. Juschkowitsch, Mathematik im Mittelalter (Leipzig, 1964) p. 241.

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© 1989 The Open University

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Flegg, G. (1989). Fractions and Calculation. In: Flegg, G. (eds) Numbers Through the Ages. Palgrave, London. https://doi.org/10.1007/978-1-349-20177-8_5

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