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Examples of Rational Expressions

Rational expression is a fancy way of saying fraction. Of course, a fraction may also be perceived as being a division example, wherein the numerator is being divided by the denominator. While the basic rules of arithmetic of fractions apply to rational expressions, having polynomials in the numerators and/or denominators does, at times, require some fancy footwork. This is even more true when there is a fraction in the numerator and another one in the denominator (a complex fraction).

The quotient of two polynomials is called a rational expression. The denominator of a rational expression can never have a zero value. The following are examples of rational expressions:




The last example, 6 x + 5, could be expressed as




Therefore, it satisfies the definition of a rational expression.

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