Chapter A.5, Problem 47AYU

To determine

To find: Which of the two methods given in the text for simplifying complex rational expressions do you prefer? Write a brief paragraph stating the reasons for your choice.

Answer to Problem 47AYU

Complex rational expressions.

Complex rational expression is the quotient of two fractions. These complex fractions are never considered to be in simplest form, but they can always be simplified using division of fractions.

Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction. In other words, you will be combining all the parts of the numerator to form one fraction and all of the parts of the denominator to form another fraction.

Step 2: Divide the numerator by the denominator. So in this step you will be multiplying the numerator by the reciprocal of the denominator.

Step 3: If needed, simplify the rational expression.

Explanation of Solution

Complex rational expressions.

Complex rational expression is the quotient of two fractions. These complex fractions are never considered to be in simplest form, but they can always be simplified using division of fractions.

Step 1: If needed, rewrite the numerator and denominator so that they are each a single fraction. In other words, you will be combining all the parts of the numerator to form one fraction and all of the parts of the denominator to form another fraction.

Step 2: Divide the numerator by the denominator. So in this step you will be multiplying the numerator by the reciprocal of the denominator.

Step 3: If needed, simplify the rational expression.