1.
2.
11

6.2: Multiplication and Division of Rational Expressions
Objectives:
6.2.1: Multiply rational expressions
6.2.2: Divide two rational functions
12

6.2.1: Multiply Rational Expressions
Once again, we turn to an example from arithmetic to begin
our discussion of multiplying rational expressions. Recall that to
multiply two fractions, we multiply the numerators and multiply
the denominators. For instance,
In algebra, the pattern is exactly the same.
13

6.2.1: Multiply Rational Expressions
Examples:
Multiply the following rational expressions?
1.
2.
3.
4.
14

6.2.1: Multiply Rational Expressions
The following algorithm summarizes our work in multiplying
rational expressions.
15

6.2.2: Divide Rational Expressions
To divide rational expressions, you can again use your
experience from arithmetic. Recall that
Once more, the pattern in algebra is identical.
16

6.2.2: Divide Rational Expressions
Examples:
Divide the following rational expressions?
1.
2.
3.
17

6.3: Addition and Subtraction of Rational Expressions
Objectives:
6.3.1: Add and subtract rational expressions
18

6.3.1: Add and Subtract Rational Expressions
Recall that adding or subtracting two arithmetic fractions with
the same denominator is straightforward. The same is true in
algebra.
To add or subtract two rational expressions with the same
denominator, we add or subtract their numerators and then
write that sum or difference over the common denominator.
19

6.3.1: Add and Subtract Rational Expressions
Examples:
Add or subtract as indicated.
1.
2.
3.
20

6.3.1: Add and Subtract Rational Expressions
Now, what if the rational expressions
do not
have common
denominators? In that case, we must use the least common
denominator (LCD).

#### You've reached the end of your free preview.

Want to read all 37 pages?

- Fall '18
- jane
- Accounting, Rational Expressions, Fractions, Fraction, Elementary arithmetic, Division of Rational Expressions