Aim 42 Complex Fractions.notebook
1a. 35­8√3
40
b. 3√5+5√2+60
30
2a. ­1
x(x­1) b. x
y
d. 4
(p+2)(p­2)
e. 0
g. p
1+p
h. 3q­p
p­q
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c. 11
2x
Aim 42
Complex Fractions
Homework Solutions
j. 1
k. 3(n­1)
(x­4)
n­2
m. ­1
n. b­a
m+2n (2a­b)(a­c)(b­c)
3a. 1/8
b. 10x
5x­2
4a. (n+2)/n
b. (n+3)/n
c. (n+4)/n
d. 2
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Aim 42 Complex Fractions.notebook
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HW Solutions
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Aim 42
Complex Fractions
Warm Up
1. Combine: 4+ x+3
x­1
2. Simplify: x2­y2 4xy
x2­2xy+y2 x2y+xy2
3. Combine: x
5
2
+
25­x2
x ­25
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Aim 42 Complex Fractions.notebook
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Test Topics
All rational expressions (Aims 38­41)
Review: Restricted Domains of Functions
Inequalities
Sketching Polynomial Functions
Fundamental Theory of Algebra
Operations with Functions
Operations with radicals
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Aim 42
Complex Fractions
What is a complex fraction?
A fraction made up of other fractions in the numerator or denominator.
ex. 1/2+1/4
2/3
To Simplify:
Multiply every term by the LCD to cancel the denominators
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Aim 42
Complex Fractions
What is the value of each of the following: (No calculator!)
1. 1/3
1/5
2. 1/4+1/3
1/2
3. 1/3­2/5
5/6+2/15
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Aim 42 Complex Fractions.notebook
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Aim 42 Complex Fractions.notebook
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Aim 42
Complex Fractions
A fraction made up of other fractions
1+ 5
x
x­ 25
x
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Aim 42 Complex Fractions.notebook
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Simplify Each: h
+1
2
2h 4
+
3 3
Aim 42
Complex Fractions
2 1
+
x 2y
3 1
+
x 3y
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Aim 42
Complex Fractions
Big Dog!!
1­ 1
x+2
x­1­ 6
x­2
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