Unit 7
–
Rational Expressions
and Equations
Module 7B
Sections 20.4
–
20.7

7B
Adding Rational Expressions
Adding Rational Expressions with Like Denominators
2
To add when the denominators are the same, add the
numerators and keep the same denominator. Then
simplify if possible.

7B
Adding Rational Expressions
Add rational expressions.
Example 1
Add.
3

7B
Adding Rational Expressions
Adding Rational Expressions with Different Denominators
4
To add rational expressions with different denominators:
1.
Find the LCM of the denominators. This is the least
common denominator (LCD).
2.
For each rational expression, find an expression
equivalent to it whose denominator is the LCD.
Multiply by 1 using an expression for 1 made up of
factors of the LCD that are missing from the original
denominator.
3.
Add the numerators. Write the sum over the LCD.
4.
Simplify if possible.

7B
Adding Rational Expressions
Add rational expressions.
Example 2
Add:
5

7B
Adding Rational Expressions
Add rational expressions.
Example 3
Add:
6

7B
Adding Rational Expressions
Add rational expressions.
Example 3
Solution
7

7B
Adding Rational Expressions
Add rational expressions.
Example 3
Solution
Continued
8

7B
Adding Rational Expressions
Add rational expressions.
Example 3
Solution
Continued
9

7B
Adding Rational Expressions
Add rational expressions.
Example 4
Add:
10

7B
Adding Rational Expressions
Add rational expressions.
Example 5
Add:
11

7B
Adding Rational Expressions
Add rational expressions.
Example 5
Solution
12

7B
Adding Rational Expressions
Add rational expressions.

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

Want to read all 49 pages?

- Winter '15
- Kitnip
- Rational Expressions, Equations, Fractions, Fraction, Elementary arithmetic, Rational function, numerators