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Then, reduce the coefficients and factors if possible and multiply numerators and denominators. After that, take the reciprocal of the second rational expression (of the dividend), change operation from division to multiplication and state the additional restrictions on the new denominator (former numerator). When dividing rational expressions, factor the numerator and the denominator of each expression first, then state the restrictions on the original denominators. After that, multiply the numerators and the denominators across. You can solve these equations using the techniques for performing operations with rational expressions and the procedures for solving algebraic equations. When multiplying rational expressions, factor the numerator and the denominator of each expression first, state the restrictions on the original denominators and then see if any coefficients and factors in could be reduced. Introduction Equations that contain rational expressions are called rational equations. Just like adding and subtracting rational functions, we can also.
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Multiplication and Division of Rational Expressions. The denominator of a rational expression can never be equivalent to zero, therefore rational expression can also be defined as the ratio of two polynomials. As we know, to add or subtract any two fractions, the denominator. A Rational Expression is a fraction wherein the numerator and denominator are in the form of algebraic polynomials. However, different from from the processes of adding and subtracting rational expressions. Simplification of Rational Expressions Addition and Subtraction of Rational Expressions. The processes of multiplying and dividing rational expressions is very similar to those of multiplying and dividing fractions.