complex fractions (5) work.notebook
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Homework: Pg 60 # 3 ­ 25 odd
Do Now: Simplify the following:
1) 4x2 - 6x
2x
2) 3y 3 + 9y
6y 2
Complex Rational Expressions
A complex fraction is a fraction whose numerator, denominator, or both contain fractions. Examples: 1/3
2
1/
2
3
A complex rational expression has a rational expression in the numerator, denominator, or both.
Example:
x+3
1/x
complex fractions (5) work.notebook
1) 2
5
4
Procedure:
1) Find the LCD of all parts of the complex fraction. Remember, whole values are over 1.
2) Multiply numerator and denominator by LCD and distribute over all terms. 3) Factor, if possible, and simplify. 2) 2
x
1
2x
Procedure:
1) Find the LCD of all parts of the complex fraction. Remember, whole values are over 1.
2) Multiply numerator and denominator by LCD and distribute over all terms. 3) Factor, if possible, and simplify. complex fractions (5) work.notebook
3) 1 + 1
a
a + 1
Procedure:
1) Find the LCD of all parts of the complex fraction. Remember, whole values are over 1.
2) Multiply numerator and denominator by LCD and distribute over all terms. 3) Factor, if possible, and simplify. 4) b ­ 1
b
1 ­ 1
b
complex fractions (5) work.notebook
5) y + 1
2
2y + 1
6)
1 + 1
2x 3x
1
x2
complex fractions (5) work.notebook
7) 3 ­ 9
x
x ­ 8 + 15
x
8) 1 + 1 ­ 6
y y2
1 + 11 + 24
y y2
complex fractions (5) work.notebook
9) 5 ­ 45
a 2
3 ­ 1
a
Homework:
Pg 64 #3 ­ 19 odd
complex fractions (5) work.notebook