Complex Fraction

A complex fraction is a rational expression where the numerator, denominator, or both, contain a rational expression.

Here, p(x), r(x), q(x), and m(x) are polynomials. A complex fraction can be simplified by rewriting it as a quotient and then dividing the rational expressions. p(x)r(x)/q(x)m(x) ⇔ p(x)/r(x) ÷ q(x)/m(x) As an example of a complex fraction, consider the following division of rational expressions. x^2-2x+4x^2-y^2/x-yx+y ⇔ x^2-2x+4/x^2-y^2 ÷ x-y/x+y