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Unformatted text preview: / MatlZO Chapter 11 — Section 3 Page :1
Complex Rational Expressions Complex rational expressions, also called mmplex fractions, have numerators or
denominators containing one or more rational expressions Here is another example of such an expression:
Numrmr 1‘
‘ 1 + T Sepnta miunal
~ ’ . a sinus nur
Main frmtim Ill 1 if“: “mm
‘ 1 — 1 ml demirntu'.
Dammirmn Simplifying a Complsx Rational Expression Step 1. Add to get a single rational expression In the numerator; .1. .2.__1_‘_§+_‘_3__5_+_§;__1_1_
3 5‘5 53—15 15'15
“IIIID'IE‘SJI’E. Snap 2. Slinmct to get a We rational expression in the denominator:
2 '1 2 r 3 l  5 I5 5 l IIIUIJiI'E. 512p: 3 and 4. Perform tin division indicated by the main fraction bar: Invert and
unliply. If possible. dupkfy.
1 7 E 1 hint Ill Initial} I / MatlZO Beginning Examples: Chapter 11  Section 3 SIWQIC Inqu Wear/W” ﬁnalum ’ MatIZO Chapter IlSec‘tionB Page [3
Complex Rational Expressions '
More Complicated Examples:
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1 z '1_.L.4..2:_'i
3+3: 4 3 q
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3 4 ﬁ‘l“ ’3’ l
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______.‘..a.'——— whomm“+‘P
5 49; ___l.. 2
13 173 ‘f 3 5'
I = __ .2 : ..’
b) mm¢r~c~ﬁvn “9 3‘3
.L_§. 93.1.. _.f_b__ '4 2. 3 _.: 3:33—
! 2 A; a. '9' " 9.5 9.5 3s 4 4. 4% 4+3? 3—4; 5%; __
”'3‘ avg. 4+3¢g~
1 1 ”Mn—arbor; LCD ”'1 9
?+' 429" =_. A... +><
1: X9 ”‘5 Xg +X5 "SE—
1: M y D—enommo‘w" LCD «Kr3. 4—9“: = Aug. _. 8—): Chapter 11  Section 3 Mat120 Chapter 11 — Section 3 Page i 5 Complex Rational Expressions 3
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