A Rational Expression is the quotient of two polynomials and with .
Lowest Terms of a Rational Expression A rational expression is written in lowest terms when the greatest common factor of its numerator and denominator is 1.
Remark To write a rational expression in lowest terms we use the basic principle of fractions:
, (, ).
Operations of Rational Expressions
Multiplication and Division:
Addition and Subtraction:
The Least Common Denominator (LCD) of two rational expressions:
Ex. The LCD of
A complex fraction is the quotient of two rational expressions.