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单词 Fraction
释义

Fraction

A Rational Number expressed in the form , where is called the Numerator and is called theDenominator. A Proper Fraction is a fraction such that , and a Lowest Terms Fraction is a fractionwith common terms canceled out of the Numerator and Denominator.


The Egyptians expressed their fractions as sums (and differences) of Unit Fractions. Conway and Guy(1999) give a table of Roman Notation for fractions, in which multiples of 1/12 (the Uncia) were given separatenames.

See also Adjacent Fraction, Anomalous Cancellation, Continued Fraction, Denominator, EgyptianFraction, Farey Sequence, Golden Rule, Half, Lowest Terms Fraction, Mediant,Numerator, Proper Fraction, Pythagorean Fraction, Quarter, Rational Number, UnitFraction


References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 22-23, 1996.

Courant, R. and Robbins, H. ``Decimal Fractions. Infinite Decimals.'' §2.2.2 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 61-63, 1996.


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更新时间:2024/11/14 15:21:49