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This pdf includes the multiplication of mixed numbers (mixed numerals) and how to multiply them with examples for better understanding.

1.
5-8

5-8 Multiplying

MultiplyingMixed

MixedNumbers

Numbers

Warm Up

Problem of the Day

Lesson Presentation

Course1 1

5-8 Multiplying

MultiplyingMixed

MixedNumbers

Numbers

Warm Up

Problem of the Day

Lesson Presentation

Course1 1

2.
5-8 Multiplying Mixed Numbers

Warm Up

Multiply.

1. 1 __

__ 1 __

1 2. 4 __

__ 3 3

__

• •

3 2 6 5 8 10

3. 3 •2

__ 6

__ 4. 3 __

__ 5 15

__

•

11 11 8 8 64

Course 1

Warm Up

Multiply.

1. 1 __

__ 1 __

1 2. 4 __

__ 3 3

__

• •

3 2 6 5 8 10

3. 3 •2

__ 6

__ 4. 3 __

__ 5 15

__

•

11 11 8 8 64

Course 1

3.
5-8 Multiplying Mixed Numbers

Problem of the Day

Tracy and Zachary are sharing a large

pizza. Tracy cuts the pizza in half. Zachary

says he cannot eat that much. Zachary

cuts his half into fourths and eats one

piece. What fraction of the whole pizza

does Zachary not eat?

7

__

8

Course 1

Problem of the Day

Tracy and Zachary are sharing a large

pizza. Tracy cuts the pizza in half. Zachary

says he cannot eat that much. Zachary

cuts his half into fourths and eats one

piece. What fraction of the whole pizza

does Zachary not eat?

7

__

8

Course 1

4.
5-8 Multiplying Mixed Numbers

Learn to multiply mixed numbers.

Course 1

Learn to multiply mixed numbers.

Course 1

5.
5-8 Multiplying Mixed Numbers

Remember!

To write a mixed number as an improper fraction,

start with the whole number, multiply by the

denominator, and add the numerator. Use the

same denominator.

1

__ 1•5+1 6

1 5 = _________ = __

5 5

Course 1

Remember!

To write a mixed number as an improper fraction,

start with the whole number, multiply by the

denominator, and add the numerator. Use the

same denominator.

1

__ 1•5+1 6

1 5 = _________ = __

5 5

Course 1

6.
5-8 Multiplying Mixed Numbers

Additional Example 1A: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

1

__ 1

• 1 __

4 3

1

__ 4

__ 1

__ 1

__ 4

__

• Write 1 as an improper fraction. 1 =

4 3 3 3 3

1•4

_____ Multiply numerators. Multiply denominators.

4•3

4

__

12

1

__ Write the answer in simplest form.

3

Course 1

Additional Example 1A: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

1

__ 1

• 1 __

4 3

1

__ 4

__ 1

__ 1

__ 4

__

• Write 1 as an improper fraction. 1 =

4 3 3 3 3

1•4

_____ Multiply numerators. Multiply denominators.

4•3

4

__

12

1

__ Write the answer in simplest form.

3

Course 1

7.
5-8 Multiplying Mixed Numbers

Additional Example 1B: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

1 4

3 __ • __

2 5

7 4 1 1 7

__ •

__ Write 3 __ as an improper fraction. 3 __ = __

2 5 2 2 2

7•4

_____ Multiply numerators. Multiply denominators.

2•5

28

__

10

14

__ 4 Write the answer in simplest form. You

__

=2

5 5 can write the answer as a mixed number.

Course 1

Additional Example 1B: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

1 4

3 __ • __

2 5

7 4 1 1 7

__ •

__ Write 3 __ as an improper fraction. 3 __ = __

2 5 2 2 2

7•4

_____ Multiply numerators. Multiply denominators.

2•5

28

__

10

14

__ 4 Write the answer in simplest form. You

__

=2

5 5 can write the answer as a mixed number.

Course 1

8.
5-8 Multiplying Mixed Numbers

Additional Example 1C: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

12

__ • 2 __ 3

13 8

12

__ • 19 3 3 19

__ Write 2 __ as an improper fraction. 2 __= __

13 8 8 8 8

3 12

__ • 19

__ Use the GCF to simplify before multiplying.

13 8

2

3 • 19

______

13 • 2

57

__ 5

__

=2 You can write the answer as a mixed number.

26 26

Course 1

Additional Example 1C: Multiplying Fractions

and Mixed Numbers

Multiply. Write each answer in simplest form.

12

__ • 2 __ 3

13 8

12

__ • 19 3 3 19

__ Write 2 __ as an improper fraction. 2 __= __

13 8 8 8 8

3 12

__ • 19

__ Use the GCF to simplify before multiplying.

13 8

2

3 • 19

______

13 • 2

57

__ 5

__

=2 You can write the answer as a mixed number.

26 26

Course 1

9.
5-8 Multiplying Mixed Numbers

Check It Out: Example 1A

Multiply. Write each answer in simplest form.

1

__ 1

__

9 • 1 2

1 3 1 1 3

__

•

__ Write 1 __ as an improper fraction. 1 __ = __

9 2 2 2 2

1•3

_____ Multiply numerators. Multiply denominators.

9•2

3

__

18

1

__ Write the answer in simplest form.

6

Course 1

Check It Out: Example 1A

Multiply. Write each answer in simplest form.

1

__ 1

__

9 • 1 2

1 3 1 1 3

__

•

__ Write 1 __ as an improper fraction. 1 __ = __

9 2 2 2 2

1•3

_____ Multiply numerators. Multiply denominators.

9•2

3

__

18

1

__ Write the answer in simplest form.

6

Course 1

10.
5-8 Multiplying Mixed Numbers

Check It Out: Example 1B

Multiply. Write each answer in simplest form.

2

__ 5

__

2 3 • 6

8 5 2 2 8

__ •

__ Write 2 __ as an improper fraction. 2 __ = __

3 6 3 3 3

8•5

_____ Multiply numerators. Multiply denominators.

3•6

40

__

18

20 2

__ = 2 __ Write the answer in simplest form. You

9 9 can write the answer as a mixed number.

Course 1

Check It Out: Example 1B

Multiply. Write each answer in simplest form.

2

__ 5

__

2 3 • 6

8 5 2 2 8

__ •

__ Write 2 __ as an improper fraction. 2 __ = __

3 6 3 3 3

8•5

_____ Multiply numerators. Multiply denominators.

3•6

40

__

18

20 2

__ = 2 __ Write the answer in simplest form. You

9 9 can write the answer as a mixed number.

Course 1

11.
5-8 Multiplying Mixed Numbers

Check It Out: Example 1C

Multiply. Write each answer in simplest form.

14 2

__ • 3 __

15 7

14

__ • 23 2

__ 2

__ 23

__ Write 3 as an improper fraction. 3 = __

15 7 7 7 7

2 14

__ • 23

__ Use the GCF to simplify before multiplying.

15 71

2 • 23

______

15 • 1

46

__ 1

__ You can write the answer as a mixed

=3

15 15 number.

Course 1

Check It Out: Example 1C

Multiply. Write each answer in simplest form.

14 2

__ • 3 __

15 7

14

__ • 23 2

__ 2

__ 23

__ Write 3 as an improper fraction. 3 = __

15 7 7 7 7

2 14

__ • 23

__ Use the GCF to simplify before multiplying.

15 71

2 • 23

______

15 • 1

46

__ 1

__ You can write the answer as a mixed

=3

15 15 number.

Course 1

12.
5-8 Multiplying Mixed Numbers

Additional Example 2A: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

2

__ 1

__

1 3 •2 7

5

__ 15

__ Write the mixed numbers as improper

• 1 15

3 7 2 5 __

fractions. 1 __ = __ 2 = __

5 • 15 3 3 7 7

______

Multiply numerators. Multiply denominators.

3 • 7

75

__

21

12

__ You can write the improper fraction as a

3

21 mixed number.

4

3 __ Simplify.

7

Course 1

Additional Example 2A: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

2

__ 1

__

1 3 •2 7

5

__ 15

__ Write the mixed numbers as improper

• 1 15

3 7 2 5 __

fractions. 1 __ = __ 2 = __

5 • 15 3 3 7 7

______

Multiply numerators. Multiply denominators.

3 • 7

75

__

21

12

__ You can write the improper fraction as a

3

21 mixed number.

4

3 __ Simplify.

7

Course 1

13.
5-8 Multiplying Mixed Numbers

Additional Example 2B: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

3 2

1 __ • 2 __

8 5

Write the mixed numbers as improper

11

__ • 12

__

3 11 2

__ 12

8 5 __

fractions. 1 = __ 2 = __

3 8 8 5 5

11

__ 12 __

• Use the GCF to simply before multiplying.

8 5

2

11 • 3

______ Multiply numerators. Multiply denominators.

2•5

33

__

10

3

3 __ Simplify.

10

Course 1

Additional Example 2B: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

3 2

1 __ • 2 __

8 5

Write the mixed numbers as improper

11

__ • 12

__

3 11 2

__ 12

8 5 __

fractions. 1 = __ 2 = __

3 8 8 5 5

11

__ 12 __

• Use the GCF to simply before multiplying.

8 5

2

11 • 3

______ Multiply numerators. Multiply denominators.

2•5

33

__

10

3

3 __ Simplify.

10

Course 1

14.
5-8 Multiplying Mixed Numbers

Additional Example 2C: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

2

__

2•4 5

2

2 • 4 __

5

2

2 • (4 + __)

5

2

(2 • 4) + ( 2 •__ ) Use the Distributive Property.

5

2 2

(2 • 4) + (__ • __)

1 5

4

8 + __ Multiply.

5

4

8 __ Add.

5

Course 1

Additional Example 2C: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

2

__

2•4 5

2

2 • 4 __

5

2

2 • (4 + __)

5

2

(2 • 4) + ( 2 •__ ) Use the Distributive Property.

5

2 2

(2 • 4) + (__ • __)

1 5

4

8 + __ Multiply.

5

4

8 __ Add.

5

Course 1

15.
5-8 Multiplying Mixed Numbers

Check It Out: Example 2A

Find each product. Write the answer in simplest form.

3

__ 1

__

1 • 2

4 6

7

__ 13

__ Write the mixed numbers as improper

• 1 13

4 6 3 7 __

fractions. 1 __ = __ 2 = __

7 • 13 4 4 6 6

______

Multiply numerators. Multiply denominators.

4 • 6

91

__

24

19

__ You can write the improper fraction as a

3

24 mixed number.

Course 1

Check It Out: Example 2A

Find each product. Write the answer in simplest form.

3

__ 1

__

1 • 2

4 6

7

__ 13

__ Write the mixed numbers as improper

• 1 13

4 6 3 7 __

fractions. 1 __ = __ 2 = __

7 • 13 4 4 6 6

______

Multiply numerators. Multiply denominators.

4 • 6

91

__

24

19

__ You can write the improper fraction as a

3

24 mixed number.

Course 1

16.
5-8 Multiplying Mixed Numbers

Check It Out: Example 2B

Find each product. Write the answer in simplest form.

2 3

1 __ • 3 __

9 5

Write the mixed numbers as improper

11

__ • 18

__

2 11 3

__ 18

9 5 __

fractions. 1 = __ . 3 = __

2 9 9 5 5

11

__ 18 __

• Use the GCF to simply before multiplying.

1 9 5

11 • 2

______ Multiply numerators. Multiply denominators.

1•5

22

__

5

2

4 __ Simplify.

5

Course 1

Check It Out: Example 2B

Find each product. Write the answer in simplest form.

2 3

1 __ • 3 __

9 5

Write the mixed numbers as improper

11

__ • 18

__

2 11 3

__ 18

9 5 __

fractions. 1 = __ . 3 = __

2 9 9 5 5

11

__ 18 __

• Use the GCF to simply before multiplying.

1 9 5

11 • 2

______ Multiply numerators. Multiply denominators.

1•5

22

__

5

2

4 __ Simplify.

5

Course 1

17.
5-8 Multiplying Mixed Numbers

Check It Out: Example 2C

Find each product. Write the answer in simplest form.

1

__

3•6

5

1

3 • 6 __

5

1

3 • (6 + __)

5

1

(3 • 6) + ( 3 •__ ) Use the Distributive Property.

5

3 1

(3 • 6) + (__ • __)

1 5

3

18 + __ Multiply.

5

3

18 __ Add.

5

Course 1

Check It Out: Example 2C

Find each product. Write the answer in simplest form.

1

__

3•6

5

1

3 • 6 __

5

1

3 • (6 + __)

5

1

(3 • 6) + ( 3 •__ ) Use the Distributive Property.

5

3 1

(3 • 6) + (__ • __)

1 5

3

18 + __ Multiply.

5

3

18 __ Add.

5

Course 1

18.
5-8 Multiplying Mixed Numbers

Lesson Quiz

Multiply. Write each answer in simplest form.

1 __ 5 7 5

__ 3

1. 3 __

• 2 __

2. 1 • 1 __

5 8 10 7 14

Find each product. Write the answer in simplest form.

1 1 1

3. 2 __ • 1 __ 2 __

3 4. 5 •__

3 16

5 4 4 5

1

__

5. A nurse gave a patient 3 tablets of a medication. If each

2

1

__

tablet contained grain of the medication, how much

20

7

__

medication did the patient receive? grain

40

Course 1

Lesson Quiz

Multiply. Write each answer in simplest form.

1 __ 5 7 5

__ 3

1. 3 __

• 2 __

2. 1 • 1 __

5 8 10 7 14

Find each product. Write the answer in simplest form.

1 1 1

3. 2 __ • 1 __ 2 __

3 4. 5 •__

3 16

5 4 4 5

1

__

5. A nurse gave a patient 3 tablets of a medication. If each

2

1

__

tablet contained grain of the medication, how much

20

7

__

medication did the patient receive? grain

40

Course 1