1. Solving Equations Containing Fractions
Section 4.8
Solving Equations Containing Fractions

2. Properties Addition Property of Equality
Let a, b, and c represent numbers.
If a = b then a + c = b + c
Multiplication Property of Equality
If a = b then ac = bc

3. Methods Two methods Solve equation with fractions.
Solve equation by Multiplying by LCD to eliminate fractions.

4. Solve Equation with Fractions.
Steps
Distributed property.
Combine like terms on the same side.
Use the Addition Property to move variables to one side, simplify.
Use the Addition Property to move constant to the other side, simplify.
Use Multiplication Property to cancel coefficient.
Solve and Check

5. Example
Solve and check

6. Multiply by LCD, eliminate fractions.
Steps
Distributed property.
Find LCD, multiply all terms with the LCD.
Combine like terms on the same side.
Use the Addition Property to move variables to one side, simplify.
Use the Addition Property to move constant to the other side, simplify.
Use Multiplication Property to cancel coefficient.
Solve and Check

7. Example
Solve and check

8. Example
Solve and check

9. Example
Solve and check

10. Example
Solve and check

11. Example
Solve and check

12. Example
Solve and check