Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions...

13
Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers. Entry Task: Warm Up 1. What is 2. What is 3. What is 12 8 15 1 2 of 24? 1 2 of 16? 1 2 of 30? 4. What is 1 4 of 28? 7

Transcript of Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions...

Page 1: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Today’s Plan:-Warm up and Correct Homework-Multiply Fractions

12/1/10 Multiply Fractions

Learning Target:

-I can multiply fractions and mixed numbers.

Entry Task:

Warm Up

1. What is 2. What is 3. What is

12

815

12 of 24?12 of 16?12 of 30?

4. What is 14 of 28? 7

Page 2: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Today’s Plan:-Warm up and Correct Homework-Multiply Fractions

12/1/10 Multiply Fractions

Learning Target:

-I can multiply fractions and mixed numbers.

Correct Homework: Pink Worksheet (Add and Subtract Decimals)

Page 3: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

In 2001, the car toll on the George Washington Bridge was $6.00. In 1995 the toll was

Additional Example 1: Transportation Application

23 of the

toll in 2001. What was the toll in 1995?

23

6 · = 23

+ 23

23

23

23

23

+ + + + +

= 123

=41

Simplify.

= $4.00 Write the fraction as a decimal.

The George Washington Bridge toll for a car was $4.00 in 1995.

+ + + +13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

1 1 1 1

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 4: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

In 2002, the fee to park in a parking garage was

$4. In 2000 the fee was of the fee in 2002.

What was the fee in 2000?

Try This: Example 1

34

4 · = 34

+ 34

34

34

+ +

= 124

=31

Simplify.

= $3.00 Write the fraction as a decimal.

The fee to park in the parking garage was $3.00 in 2000.

34

+14

14

14

14

14

14 + +1

414

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

1 1 1

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 5: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Additional Example 2C: Multiplying Fractions

C. · 5

The signs are different, so the answer will be negative.

Multiply numerators.Multiply denominators.

423

45

·23

– =23

· 4 5·

= 8 15

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 6: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

B. · 8

= Simplify.

Multiply numerators.Multiply denominators.

313

1

1

= 18

38

·13

13

· 3 8·

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 7: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Additional Example 2A: Multiplying Fractions

A. –12 · 34

–12 · 34

= – 121

· 34

Write –12 as a fraction.

= – 12 · 31 · 4

3

1Simplify.

91

= – = –9 Multiply numerators.Multiply denominators.

You can write any integer as a fraction with a denominator of 1.

Remember!

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 8: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Try This: Example 2A

A. –16 · 14

–16 · 14

= – 161

· 14

Write –16 as a fraction.

= – 16 · 11 · 4

4

1Simplify.

41

= – = –4 Multiply numerators.Multiply denominators.

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 9: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Additional Example 3A: Multiplying Mixed Numbers

Write the mixed number as an improper fraction.

Simplify.

Multiply numerators.Multiply denominators.

A. 2

25

· 1 23 = 2

5 · 53

= 25

· 53

1

1

5· 1 2

3

= 23

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 10: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Additional Example 3B: Multiplying Mixed Numbers

Write the mixed numbers as improper fractions.

Simplify.

B. 4 15

· 2 17

415

· 17

= 215

· 157

= 5·

71521

1

3

1

3

= 91

or 9 Multiply numerators.Multiply denominators.

2

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 11: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest form.

Try This: Example 3B

Write the mixed numbers as improper fractions.

Simplify.

B. 3 36

· 1 13

336

· 13

= 216

· 43

= 6·

3421

1

7

3

2

Multiply numerators.Multiply denominators.

1

= 143 or 4 2

3

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 12: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Multiply. Write the answer in simplest terms.

5. A recipe for clam chowder calls for 2 14 pounds of

butter. If you prepare one-half of the recipe, how

much butter do you need?

1 18

pounds

Course 2

4-7 Multiplying Fractions and Mixed Numbers

Page 13: Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers.

Today’s Plan:-Warm up and Correct Homework-Multiply Fractions

12/1/10 Multiply Fractions

Learning Target:

-I can multiply fractions and mixed numbers.

Page 224 #10-25