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Editor’s collection of notes:

Algebra

Algebraic Fractions

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from wikipedia:

In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are ${\displaystyle \frac{\mathrm{<span\; style="font-size:\; 22px"><span\; style="font-family:\; arial,helvetica,sans-serif">3</span></span>}}{}}$ x x 2 + 2 x − 3 and ${\displaystyle \frac{\sqrt{\mathrm{<span\; style="font-size:\; 22px"><span\; style="font-family:\; arial,helvetica,sans-serif">x</span></span>}}}{}}$ + 2 x 2 − 3 . Algebraic fractions are subject to the same laws as arithmetic fractions.