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Multiplying mixed numbers.notebook 1 October 27, 2014 Multiplying Mixed Numbers Teachers' notes Lesson objectives 1) Students will learn the process that is needed to multiply mixed numbers. 2) Students will apply that process and work some sample problems.

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Page 1: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

1

October 27, 2014

Multiplying Mixed Numbers

Teachers' notesLesson objectives

1) Students will learn the process that is needed to multiply mixed numbers.

2) Students will apply that process and work some sample problems.

Page 2: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

2

October 27, 2014

Lesson objectives Teachers' notes

Subject:

Topic:

Grade(s):

Prior knowledge:

Cross­curricular link(s):

Math

Multiplying Mixed Numbers

6th and 7th grade

Lesson notes:

A review of changing a mixed number to an improper fraction prior may be helpful.

How to change a mixed number to an improper fraction

Page 3: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

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October 27, 2014

Multiply Fractions

To multiply fractions, multiply the numerators and multiply the denominators (tops times tops, bottoms times bottoms).

12 x 2

31 x 22 x 3

26

= =Write the product in

simplest form!

The numerator and denominator may have common factors. If this is the case, you can simplify before multiplying.

Page 4: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

4

October 27, 2014

Remember the rules for multiplying positive and negative numbers! These rules still apply to fractions!

A positive times a positive is a positive.A negative times a negative equals a positive.

A negative times a positive or a positive times a negative equals a negative.

Same signs equals positive; different signs equals negative!

Page 5: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

5

October 27, 2014

Examples

Multiply and write in simplest form.

35

12

23

(­4)xx

Page 6: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

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October 27, 2014

Steps to follow:

Page 7: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

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October 27, 2014

Let's work one together.

21 3

44 7

=

Now look at your answer and see if you can reduce or simplify. You may need to change it back to a mixed number.

First change to an improper fraction

Page 8: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

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October 27, 2014

You try...

87 8

93

=

Now look at your answer and see if you can reduce or simplify. You may need to change it back to a mixed number.

First change to an improper fraction

2

Page 9: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

9

October 27, 2014

Practice

5 • 1=

8

25

57

• =

3 34 2 1

5• =12

49

( ­ )• =

7 12 2 2

5• =

2 58 6 2

3• =

Page 10: Multiplying mixed numbers.notebook - Weeblyjlievers.weebly.com/.../multiplyingfractionsnotes.pdf · Multiplying mixed numbers.notebook 3 October 27, 2014 Multiply Fractions To multiply

Multiplying mixed numbers.notebook

10

October 27, 2014

Homework:

page 75 6­14