1. Solving Fraction Equations by Multiplying
Lesson 5-5

2. If the variable is in the fraction…
When the variable is the numerator of the fraction, then it suggests a division problem.
To solve a division problem, the inverse operation is multiplying.

3. y 20 = 8 Example This equation reads “y divided by 8 equals 20.”
The opposite of dividing by 8 is multiplying by 8.
Multiply both sides by 8.

4. y 1 8 20 8 = 8 1 1 y
160 = 1 y =
160

5. Example 2 m 1 2 3 2 = 1 2 1 m = 6 1 m 6 =

6. Check answers in the original equation.m = 3 2 6 = 3 2 = 3 3

7. If the variable is being multiplied by a fraction…
To isolate a variable that is being multiplied by a fraction, multiply by the reciprocal.
Perform the same operation on the other side of the equation.

8. Example 5 3 2 1 1 3 10 r = 1 2 1 3 2 1 1 15 1 r = 1 r 15 =

9. Homework Time