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Chapter 6 Lesson 4 Multiplying Fractions and Mixed Numbers

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1 Chapter 6 Lesson 4 Multiplying Fractions and Mixed Numbers
Objectives: Multiply fractions and mixed numbers

2 Recall 4 = How do you change a mixed number to an improper fraction?
Multiply the whole number by the denominator add the product to the numerator Put answer over the same denominator 31 7 3 7 4 =

3 Lets try a few! Change each mixed number to an improper fraction.
3 4 27 4 6 18 7 4 7 2 26 5 1 5 5

4 Three steps for the day. Multiply fractions
Simplifying before multiplying fractions Multiplying mixed numbers

5 1. Multiplying fractions
1 1 2 3 1 6 x = 2 3 7 5 6 35 x =

6 1. Multiplying Fractions
Multiply the numerators Multiply the denominators Simplify if necessary

7 Lets try some more! x = = x = x 4 = = 2 3 10 3 1 5 2 3 12 1 4 1 3 3 4
3 1 5 2 x = 3 12 1 4 1 3 3 4 = x = 2 3 8 3 2 3 x 4 = = 2

8 You try some on your own! Page 578 Lesson 6-4 numbers 1-4

9 Simplify Before Multiplying
1 3 28 2 3 7 8 x = 4 1 1 7 1 3 3 7 = x 1 1 9 8 1 18 x = 2

10 2. Simplifying Before Multiplying
Cross cancel by finding the GCF of the diagonals Multiply numerators Multiply the denominators If needed - simplify

11 2. Simplifying Before Multiplying
1 3 28 2 3 7 8 x = 4 1 1 7 1 3 3 7 x = 1 1 4 1 9 8 1 18 x = 2

12 ( ) ( ) ( ) ( ) ( ) ( ) Here are some more! = = = 5 3 6 5 1 2 1 5 5 6
5 3 6 5 1 2 = ( ) ( ) 1 5 5 6 1 6 = ( ) ( ) 1 2 =

13 ( ) ( ) ( ) ( ) ( ) ( ) Little harder!!!!! 3 = = 9 2 3 6 7 55 35 2 9 1
2 3 3 = ( ) ( ) ( ) 1 2 1 5 = 9 3 2 1

14 Try some on your own! Page 578 Lesson 6-4 numbers 9 – 12 all

15 3. Multiply Mixed numbers
1 2 2 5 x 4 11 11 5 1 5 1 2 22 5 x = = 2 1

16 3. Multiply Mixed numbers
4 9 1 4 8 x 19 19 9 1 9 1 4 76 9 x = = 2 1

17 3. Multiplying Mixed Numbers
Convert all mixed numbers to improper fractions Cross cancel Multiply numerators Multiply denominators Change result back to a mixed number

18 Lets try some! 1 3 3 X 5 = 16 2 5 1 2 7 8 1 X 2 = 4 3 4 1 3 5 X 3 = 20

19 Try some on your own! Page 578 Lesson 6-4 numbers

20 Lets try some with chalkboards!

21 State the steps to multiplying mixed numbers.
Lets Review! State the steps to multiplying mixed numbers.

22 Homework Homework Sheet the first column


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