Multiplying Mixed Numbers TeacherTwins©2015

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

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

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

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

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

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

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