Algebraic fraction

In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are $\frac{3x}{x^2+2x-3}$ and $\frac{\sqrt{x+2}}{x^2-3}$ . 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 $\frac{3x}{x^2+2x-3}$ is a rational fraction, but not $\frac{\sqrt{x+2}}{x^2-3},$ because the numerator contains a square root function.

单词	Irrational fraction
释义	Irrational fraction 英语百科 Algebraic fraction In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are $\frac{3x}{x^2+2x-3}$ and $\frac{\sqrt{x+2}}{x^2-3}$ . 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 $\frac{3x}{x^2+2x-3}$ is a rational fraction, but not $\frac{\sqrt{x+2}}{x^2-3},$ because the numerator contains a square root function.
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Irrational fraction

Algebraic fraction