A Rational Number expressed in the form , where is called the Numerator and is called the Denominator. A Proper Fraction is a fraction such that , and a Lowest Terms Fraction is a fraction with 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 separate names.

**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.

© 1996-9

1999-05-26