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algebraic fraction : ウィキペディア英語版
algebraic fraction
In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are \frac and \frac. Algebraic fractions are subject to the same laws as arithmetic fractions.
A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials. Thus \frac is a rational fraction, but not \frac, because the numerator contains a square root function.
==Terminology==
In the algebraic fraction \tfrac, the dividend ''a'' is called the ''numerator'' and the divisor ''b'' is called the ''denominator''. The numerator and denominator are called the ''terms'' of the algebraic fraction.
A ''complex fraction'' is a fraction whose numerator or denominator, or both, contains a fraction. A ''simple fraction'' contains no fraction either in its numerator or its denominator. A fraction is in ''lowest terms'' if the only factor common to the numerator and the denominator is 1.
An expression which is not in fractional form is an ''integral expression''. An integral expression can always be written in fractional form by giving it the denominator 1. A ''mixed expression'' is the algebraic sum of one or more integral expressions and one or more fractional terms.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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