1. Multiplying Mixed Numbers
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2. Warm Up
Multiply
𝟐 𝟓 x 𝟑 𝟒 𝟓 𝟗 x 𝟑 𝟏𝟎
3. 𝟏 𝟐 x 𝟏 𝟔 𝟏𝟐 𝟑𝟓 x 𝟕 𝟏𝟖
𝟑 𝟏𝟎
𝟏 𝟔
𝟏 𝟏𝟐
𝟐 𝟏𝟓

3. Multiplying Mixed Numbers
First change your mixed numbers to improper fractions
Multiply
Simplify

4. Example 1: Multiply 2 𝟑 𝟒 x 3 𝟏 𝟏𝟏 2 𝟑 𝟒 = 𝟏𝟏 𝟒 𝟏𝟏 𝟒 x 𝟑𝟒 𝟏𝟏 =17
2 𝟑 𝟒 = 𝟏𝟏 𝟒
𝟏𝟏 𝟒 x 𝟑𝟒 𝟏𝟏 =
𝟏𝟕 𝟐 = 8 𝟏 𝟐 1 2
3 𝟏 𝟏𝟏 = 𝟑𝟒 𝟏𝟏

5. Example 2: Multiply 4 𝟏 𝟐 x 5 𝟑 𝟓 4 𝟏 𝟐 = 𝟗 𝟐 𝟗 𝟐 x 𝟐𝟖 𝟓 5 𝟑 𝟓 = 𝟐𝟖 𝟓
4 𝟏 𝟐 = 𝟗 𝟐 14
𝟗 𝟐 x 𝟐𝟖 𝟓
= 𝟏𝟐𝟔 𝟓 = 25 𝟏 𝟓
5 𝟑 𝟓 = 𝟐𝟖 𝟓 1

6. Example 3:
Caleb has a picture frame that is 12 𝟐 𝟑 in by 10 𝟏 𝟐 in. What is the area of the picture frame?
12 𝟐 𝟑 x 10 𝟏 𝟐 = 𝟑𝟖 𝟑 x 𝟐𝟏 𝟐 = 133 sq in

7. Practice
2 𝟑 𝟒 x 4 𝟏 𝟒
5 𝟑 𝟓 x 7 𝟏 𝟒
11 𝟏𝟏 𝟏𝟔
4𝟎 𝟑 𝟓

8. Closure
How is multiplying mixed numbers different from multiplying common fractions?
Must change mixed numbers to improper fractions.