1. 8.5: Adding and Subtracting Rational Expressions
Page 586 3) 5) 7) 5 9)
3x(x – 2)
11)
2x(x – 5)
13)
x(x – 5)(x + 5)
15) D
17)
19)
21)
23)
25)
Must have common denominators.
27)
29)
41)
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8.5: Adding and Subtracting Rational Expressions

2. Complex Rational Fractions
Section 8.5a
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8.5a - Complex Fractions

3. Steps for Solving Complex Fractions
Operate the top equation (numerator) first.
Operate the bottom equation (denominator).
Rewrite the problem horizontally instead of vertically
Divide the equation. KEEP IT, CHANGE IT, FLIP IT.
Simplify and/or solve
Check
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8.5a - Complex Fractions

4. Example 1
Simplify
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8.5a - Complex Fractions

5. Example 2 Simplify Step 1: Operate the top equation (numerator) first.
Step 2: Operate the bottom equation (denominator) second.
Step 3: Divide the equation. KEEP IT, CHANGE IT, FLIP IT.
Step 4: Simplify and/or solve, check
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8.5a - Complex Fractions

6. Example 3
Simplify
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8.5a - Complex Fractions

7. Your Turn
Simplify
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8.5a - Complex Fractions

8. Example 4
Simplify
Top:
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8.5a - Complex Fractions

9. Example 4
Simplify
Bottom:
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8.5a - Complex Fractions

10. Example 4
Simplify
Divide:
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8.5a - Complex Fractions

11. Example 5
Simplify
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8.5a - Complex Fractions 11

12. Your Turn
Simplify
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8.5a - Complex Fractions 12

13. Assignment
Worksheet
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8.5a - Complex Fractions 13