1. Aim: How do we solve fractional equations?
Do Now: Simplify (use positive exponents)
(2a⁴b¯⁶)¯³(a⁸b¯⁴)⁵
2) (combine)
3 + x x
HW #1 pg 69 #7,14,15,16,19

2. Key Terms Fractional Equation Extraneous Solution
An equation containing one or more rational expressions.
A solution that, when checked back into the original equation, results in a 0 denominator.

3. Two Methods: 1st Method – when we have 2 terms (proportion)
Steps:
Cross – Multiply
Solve for the variable
Make sure result is not extraneous
Example:
1) )

4. Try These: Solve
1) ) = y
y –

5. Method 2 : 3 terms or more Steps:
Determine the LCD of all denominators.
2) Change all terms to the LCD - Just like with addition and subtraction
3) Once we have the same denominators – GET RID OF THE DENOMINATORS. YEA!
4) Solve for the variable.
5) Check for extraneous roots.

6. Examples:
= )
x x

7. Try These:
m – 3 = ) b = 17
m b b