Course 1

5-8 Multiplying Mixed Numbers5-8 Multiplying Mixed Numbers

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Course 1

5-8 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__

Course 1

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? 78__

Course 1

5-8 Multiplying Mixed Numbers

Learn to multiply mixed numbers.

Course 1

5-8 Multiplying Mixed Numbers

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.

Remember!

15__1

1 • 5 + 15

_________ 65__= =

Course 1

5-8 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.

Course 1

5-8 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__ Write the answer in simplest form. You

can write the answer as a mixed number.

45__= 2

Course 1

5-8 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__•

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 1A

Multiply. Write each answer in simplest form.

• 119__ 1

2__

Write 1 as an improper fraction. 1 =

32__1

2__1

2__1

9__ 3

2__•

1 • 39 • 2_____ Multiply numerators. Multiply denominators.

318__

16__ Write the answer in simplest form.

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 1B

Multiply. Write each answer in simplest form.

2 • 23__ 5

6__

Write 2 as an improper fraction. 2 =

83__2

3__2

3__8

3__ 5

6__•

8 • 53 • 6_____ Multiply numerators. Multiply denominators.

4018__

209__ Write the answer in simplest form. You

can write the answer as a mixed number.

29__= 2

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 1C

Multiply. Write each answer in simplest form.

• 31415__ 2

7__

Write 3 as an improper fraction. 3 =

237__2

7__2

7__14

15__ 23

7__•

2 • 23 15 • 1

______

Use the GCF to simplify before multiplying.

4615__ You can write the answer as a mixed

number. 115__= 3

2

1

1415__ 23

7__•

Course 1

5-8 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

Course 1

5-8 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 simply before multiplying.

3310__

Multiply numerators. Multiply denominators.

Write the mixed numbers as improper

fractions. 1 = 2 = 118__ 12

5__3

8__ 2

5__

Simplify. 310__3

118__ 12

5__•

3

2

Course 1

5-8 Multiplying Mixed Numbers

Additional 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

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 2A

Find each product. Write the answer in simplest form.

1 • 234__ 1

6__

74__ 13

6__•

7 • 134 • 6______

Multiply numerators. Multiply denominators.

9124__

1924__ You can write the improper fraction as a

mixed number.

Write the mixed numbers as improper

fractions. 1 = 2 = 74__ 13

6__3

4__ 1

6__

3

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 2B

Find each product. Write the answer in simplest form.

1 • 329__ 3

5__

119__ 18

5__•

11 • 21 • 5

______

Use the GCF to simply before multiplying.

225__

Multiply numerators. Multiply denominators.

Write the mixed numbers as improper

fractions. 1 = . 3 = 119__ 18

5__2

9__ 3

5__

Simplify. 25__4

119__ 18

5__•

2

1

Course 1

5-8 Multiplying Mixed Numbers

Check It Out: Example 2C

Find each product. Write the answer in simplest form.

3 • 6 15__

Use the Distributive Property.

Add.

35__18 +

3 • 615__

3 • (6 + )15__

(3 • 6) + ( 3 • )

31__

Multiply.

(3 • 6) + ( • )15__

15__

35__18

Course 1

5-8 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

1

2__

1

20__

1 3

14__

23

4__

grain7

40__