Multiplying Mixed Numbers and Fractions

Section 6-5

Modeling

3

5

3

4X =

9

20

Modeling

4

5

1

4X =

4

20

1

5

Absolute Rule!!!Mixed numbers must be converted to

Improper Fractions!Step 1: Change all mixed numbers to improper

fractions.

Step 2: Top x Top, Bottom x Bottom.

Step 2b: CANCEL! Canceling is dividing a numerator and a denominator by a common factor. Cancel before multiplying!

Step 3: Simplify! Simplify! Simplify!

How do I know to multiply?• Look for the normal signs. x ; • ; ( )( )

• Look for the word, ‘of’, or ‘out of’. When you want part of the whole, you multiply the two fractions/ mixed numbers.

• When modeling multiplication of fractions, look for:– The fraction represented by the column– The fraction represented by the row– The double shaded region over the total

number of squares is your answer.

Practice

42

15)2

7

2

4

3)1

5

4

8

1)3

3

24

4

15)4

3

2

4

1)5 of

1

10

1

224

3

14 22

1

6

Homework

• Worksheet

– Practice,6 – 5, Quiz on Tomorrow!

Extra practice @ www.math.com