5-7 Multiplying Mixed Numbers

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

5-7 Multiplying Mixed Numbers

Warm UpMultiply.

1. 2.

3. 4. 38__ 5

8__• 2

•45__ 3

8__

311__

12__1

3__ •

•

16__ 3

10__

611__ 15

64__

5-7 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? 78__

5-7 Multiplying Mixed Numbers

To write a mixed number as an improper fraction, start with the denominator, multiply by the whole number, and add the numerator. Use the same denominator.

Remember!

15__1

1 • 5 + 15

_________ 65__= =

5-7 Multiplying Mixed Numbers

Additional Example 1A: Multiplying Fractions and Mixed Numbers

Multiply. Write each answer in simplest form.

• 114__ 1

3__

Write 1 as an improper fraction. 1 =

43__1

3__1

3__1

4__ 4

3__•

1 • 44 • 3_____ Multiply numerators. Multiply denominators.

412__

13__ Write the answer in simplest form.

5-7 Multiplying Mixed Numbers

Additional Example 1B: Multiplying Fractions and Mixed Numbers

Multiply. Write each answer in simplest form.

3 • 12__ 4

5__

Write 3 as an improper fraction. 3 =

72__1

2__1

2__7

2__ 4

5__•

7 • 42 • 5_____ Multiply numerators. Multiply denominators.

2810__

145__ You can write the answer as a mixed

number. 45__= 2

5-7 Multiplying Mixed Numbers

Additional Example 1C: Multiplying Fractions and Mixed Numbers

Multiply. Write each answer in simplest form.

• 21213__ 3

8__

Write 2 as an improper fraction. 2 =

198__3

8__3

8__12

13__ 19

8__•

3 • 19 13 • 2

______

Use the GCF to simplify before multiplying.

5726__ You can write the answer as a mixed number.

526__= 2

3

2

1213__ 19

8__•

5-7 Multiplying Mixed Numbers

Check It Out: Example 1A

Multiply. Write each answer in simplest form.

• 23__ 5

6__

83__ 5

6__

•

4018__

209__

2

29__2or

5-7 Multiplying Mixed Numbers

Check It Out: Example 1B

Multiply. Write each answer in simplest form.

• 14__ 2

9__

94_ 2

9_

•

24_

12_

2

5-7 Multiplying Mixed Numbers

Check It Out: Example 1C

Multiply. Write each answer in simplest form.

• 35__ 1

6__

185__ 1

6_

•

1830__

35_

3

5-7 Multiplying Mixed Numbers

You can estimate the product to see whether your answer is reasonable.

Remember!

5-7 Multiplying Mixed Numbers

Additional Example 2A: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

1 • 223__ 1

7__

53__ 15

7__•

5 • 153 • 7______

Multiply numerators. Multiply denominators.

7521__

1221__ You can write the improper fraction as a

mixed number.

Write the mixed numbers as improper

fractions. 1 = 2 = 53__ 15

7__2

3__ 1

7__

3

Simplify. 47__3

5-7 Multiplying Mixed Numbers

Additional Example 2B: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

1 • 238__ 2

5__

118__ 12

5__•

11 • 32 • 5

______

Use the GCF to simplify before multiplying.

3310__

Multiply numerators. Multiply denominators.

Write the mixed numbers as improper

fractions. 1 = 2 = 118__ 12

5__3

8__ 2

5__

Write the answer as a mixed number. 310__3

118__ 12

5__•

3

2

5-7 Multiplying Mixed NumbersAdditional Example 2C: Multiplying Mixed Numbers

Find each product. Write the answer in simplest form.

2 • 425__

Use the Distributive Property.

Add.

45__8 +

2 • 425__

2 • (4 + )25__

(2 • 4) + ( 2 • )

21__

Multiply.

(2 • 4) + ( • )25__

25__

45__8

5-7 Multiplying Mixed Numbers

Check It Out: Example 2A

Find each product. Write each answer in simplest form.

1 • 234__ 1

6__

74__ 13

6__•

9124__

1924__3

5-7 Multiplying Mixed Numbers

Check It Out: Example 2B

Find each product. Write each answer in simplest form.

3 • 223__ 1

4__

113__ 9

4__•

9912__

14__8

334__

5-7 Multiplying Mixed Numbers

Check It Out: Example 2C

Find each product. Write each answer in simplest form.

3 • 218__ 2

3__

258__ 8

3__•

253__

13__8

5-7 Multiplying Mixed Numbers

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

5-7 Multiplying Mixed Numbers

Lesson Quiz

Multiply. Write each answer in simplest form.

1. 3 2. 1

Find each product. Write the answer in simplest form.

3. 2 • 1 4. 5 • 3

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

tablet contained grain of the medication, how much

medication did the patient receive?

25

8__1

5__•

5

7__7

10__ •

1

4__1

5__ 1

5__ 16

12__

1

20__

1 3

14__

23

4__

grain7

40__

5-7 Multiplying Mixed Numbers

1. Multiply and identify the answer in simplest form.

A. 1 C. 3

B. 2 D. 4

Lesson Quiz for Student Response Systems

5-7 Multiplying Mixed Numbers

2. Multiply and identify the answer in simplest form.

A. C.

B. D.

Lesson Quiz for Student Response Systems

5-7 Multiplying Mixed Numbers

3. Multiply and identify the answer in simplest form.

A. C.

B. D.

Lesson Quiz for Student Response Systems

5-7 Multiplying Mixed Numbers

4. Multiply and identify the answer in simplest form.

A. 15 C. 17

B. 16 D. 18

Lesson Quiz for Student Response Systems

5-7 Multiplying Mixed Numbers

5. Rita used pounds of vegetables for

cooking. If each pound of vegetables contains

pound of proteins, how much protein is in

the meal?

A. C.

B. D.

Lesson Quiz for Student Response Systems