   Chapter 4.2, Problem 22PS

Chapter
Section
Textbook Problem

For Problems 13-50, perform the indicated operation involving rational expressions. Express final answers in simplest form. (Objective 2, 4 and 5) 3 a b 3 4 c ÷ 21 a c 12 b c 3

To determine

To perform:

The given operation and reduce it in simplest form.

Explanation

If ab and cd are from rational set, then multiplication of rational is formed by writing the numerator as product of numerators and denominator of the product as product of the denominator.

abcd=acbd=acbd

If ab and cd are rational numbers, then the rational division is formed by writing the numerator as the quotient of numerator of the first and denominator of the other rational numbers, and writing the denominator as the quotient of numerator of the first and denominator of the other rational number.

If m and k are integers but not zero and n is any integer, then the two fractions nkmk and nm follow the fraction’s fundamental principle as given below.

nkmk=nm.

Calculation:

The given rational expression is 3ab34c÷21ac12bc3

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