5 Minute Check Complete on the back of your homework. 1 1. 3 x
12 3 2. 7 x 8 5 3. 6 x 15 2 4. 5 x 11
Slide 2
5 Minute Check Complete on the back of your homework. 1 1. 3 x
12
Slide 3
5 Minute Check Complete on the back of your homework. 1 1. 3 x
12 1 12 12 3 x 1 = 3 = 4
Slide 4
5 Minute Check Complete on the back of your homework. 3 2. 7 x
8
Slide 5
5 Minute Check Complete on the back of your homework. 3 2. 7 x
8 3 8 24 3 7 x 1 = 7 = 3 7
Slide 6
5 Minute Check Complete on the back of your homework. 5 3. 6 x
15
Slide 7
5 Minute Check Complete on the back of your homework. 5 3. 6 x
15 5 15 75 1 6 x 1 = 6 = 12 2
Slide 8
5 Minute Check Complete on the back of your homework. 2 4. 5 x
11
Slide 9
5 Minute Check Complete on the back of your homework. 2 4. 5 x
11 2 11 22 2 5 x 1 = 5 = 4 5
Slide 10
Friday, Oct 3 Lesson 6.4.3 Multiply Fractions
Slide 11
Objective: To understand how to estimate and multiply
fractions.
Slide 12
Multiply Fractions To multiply fractions, multiply the
numerators and multiply the denominators, then simplify if needed.
Example x = 3 2 6 3 4 x 5 = 20 = 10 x =
Slide 13
Multiply Fractions When multiplying a fraction by a fraction,
an estimate can be determined using a comparable number for the
fractions.
Slide 14
Multiply Fractions When multiplying a fraction by a fraction,
an estimate can be determined using a comparable number for the
fractions. If a fraction is less than 1, we can use 0, or 1 as a
comparable number.
Slide 15
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 4 What is the comparable number for 7
?
Slide 16
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 4 What is the comparable number for 7
? First, what is half the denominator?
Slide 17
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 4 What is the comparable number for 7
? First, what is half the denominator? 3
Slide 18
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 4 What is the comparable number for 7
? First, what is half the denominator? 3 Is the numerator closer to
0, 3 or 7?
Slide 19
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 4 What is the comparable number for 7
? First, what is half the denominator? 3 Is the numerator closer to
0, 3 or 7? 3 Which means the comparable number is .
Slide 20
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 2 What is the comparable number for 9
? First, what is half the denominator?
Slide 21
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 2 What is the comparable number for 9
? First, what is half the denominator? 4 Is the numerator closer to
0, 4 or 9?
Slide 22
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 2 What is the comparable number for 9
? First, what is half the denominator? 4 Is the numerator closer to
0, 4 or 9? 4 Which means the comparable number is 0.
Slide 23
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 5 What is the comparable number for 12
?
Slide 24
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 5 What is the comparable number for 12
?
Slide 25
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 13 What is the comparable number for
15 ?
Slide 26
Multiply Fractions If a fraction is less than 1, we can use 0,
or 1 as a comparable number. 13 What is the comparable number for
15 ? 1
Slide 27
Multiply Fractions When estimating the product of two
fractions, round each fraction to 0, or 1 and then multiply. All
possible answers include: 0 x 0 = 0 0 x = 0 0 x 1 = 0 x = x 1 = 1 x
1 = 1
Slide 28
Multiply Fractions Can either be estimated up or down 0 1 0
1
Slide 29
Multiply Fractions Estimate and Multiply. 1 3 x 4
Estimate?
Slide 30
Multiply Fractions Estimate and Multiply. 1 3 x 4 1 2 x 0 = 0
Actual Product?
Slide 31
Multiply Fractions Estimate and Multiply. 1 3 x 4 0 Actual
Product? 1 1 1 3 x 4 = 12 Is this a reasonable answer?
Slide 32
Multiply Fractions Estimate and Multiply. 1 3 x 4 0 Actual
Product? 1 1 1 3 x 4 = 12 Is this a reasonable answer? Yes
Slide 33
Multiply Fractions and Whole Numbers Estimate and Multiply. 1 3
x 4 We can also use models to represent this problem.
Slide 34
Multiply Fractions and Whole Numbers Estimate and Multiply. 1 3
x 4 Divide a rectangle into 3 columns and 4 rows. Then shade
section that is wide by 1/3 long. That represents 1/12 of the
total.
Slide 35
Multiply Fractions Estimate and Multiply. 2 5 3 x 6 Do this on
your own.
Slide 36
Multiply Fractions Estimate and Multiply. 2 5 3 x 6
Estimate?
Slide 37
MuMultiply Fractions Estimate and Multiply. 2 5 3 x 6 = 1 2 x 1
= 2 Actual Product?
Slide 38
Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 2 Actual
Product? 2 5 10 5 3 x 2 = 18 = 9 Is this a reasonable answer?
Slide 39
Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 2 Actual
Product? 2 5 10 5 3 x 6 = 18 = 9 5 1 Is this a reasonable answer? 9
2
Slide 40
Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 2 2 5 10
5 3 x 6 = 18 = 9
Slide 41
Multiply Fractions Estimate and Multiply. 1 8 x 2
Slide 42
Multiply Fractions Estimate and Multiply. 1 8 x 2 0 1 1 1 8 x 2
= 16
Slide 43
Multiply Fractions Estimate and Multiply. 3 5 10 x 6
Slide 44
Multiply Fractions Estimate and Multiply. 3 5 1 10 x 6 2 3 5 1
2 x 5 x 2 x 3 = 4
Slide 45
Multiply Fractions Estimate and Multiply. 4 3 9 x 8
Slide 46
Multiply Fractions Estimate and Multiply. 4 3 1 9 x 8 4 2 x 2 3
1 3 x 3 x 2 x 2 x 2 = 6
Slide 47
Multiply Fractions Estimate and Multiply. 4 9 x 18 Do this on
your own. From yesterdays lesson.
Slide 48
Multiply Fractions Estimate and Multiply. 4 9 x 18 9 4 2x3x3 8
3x3 x 1 = 1 =8
Slide 49
Multiply Fractions Estimate and Multiply. 3 5 x 10 = Do this on
your own.
Slide 50
Multiply Fractions Estimate and Multiply. 3 5 x 10 5 3 2 x 5 6
5 x 1 = 1 = 6
Slide 51
Multiply Fractions Estimate and Multiply. 4 7 x 15
Slide 52
Multiply Fractions Estimate and Multiply. 4 7 x 15 8 4 15 60 4
7 x 1 = 7 = 8 7
Slide 53
Multiply Fractions Estimate and Multiply. 1 1 1 3 x 4 x 5
Slide 54
Multiply Fractions Estimate and Multiply. 1 1 1 3 x 4 x 5 0 1 1
1 1 3 x 4 x 5 = 60
Slide 55
Multiply Fractions Frank had of the lawn left to mow. On
Saturday he mowed 2/3 of what was left. What fraction of the lawn
did he mow on Saturday? Do this on your own.
Slide 56
Multiply Fractions Frank had of the lawn left to mow. On
Saturday he mowed 2/3 of what was left. What fraction of the lawn
did he mow on Saturday? 1 2 1 2 x 3 = 3 To find the percentage or
fraction of any number, multiply the number by the percentage
(decimal equivalent) or fraction.
Slide 57
Multiply Fractions A paint store has 35 gallons of paint in
storage, 2/5 of which are for outdoor use. The others are for
indoor use. If each gallon costs $22, what is the total cost of the
indoor paint in storage? Do this on your own.
Slide 58
Multiply Fractions A paint store has 35 gallons of paint in
storage, 2/5 of which are for outdoor use. The others are for
indoor use. If each gallon costs $22, what is the total cost of the
indoor paint in storage? There is a couple of different ways to
solve this problem. If 2/5 is outdoor paint, what fraction is
indoor paint?
Slide 59
Multiply Fractions A paint store has 35 gallons of paint in
storage, 2/5 of which are for outdoor use. The others are for
indoor use. If each gallon costs $22, what is the total cost of the
indoor paint in storage? If 2/5 is outdoor paint, what fraction is
indoor paint? 3/5 What is 3/5 of 35 gallons?
Slide 60
Multiply Fractions A paint store has 35 gallons of paint in
storage, 2/5 of which are for outdoor use. The others are for
indoor use. If each gallon costs $22, what is the total cost of the
indoor paint in storage? What is 3/5 of 35 gallons? 3 5x7 21 5 x 1
= 1 = 21 What is the cost of 21 gallons?
Slide 61
Multiply Fractions A paint store has 35 gallons of paint in
storage, 2/5 of which are for outdoor use. The others are for
indoor use. If each gallon costs $22, what is the total cost of the
indoor paint in storage? What is the cost of 21 gallons? 21 x $22 =
$462
Slide 62
Multiply Fractions True or False. The product of two fractions
between 0 and 1 is also between 0 and 1.
Slide 63
Multiply Fractions True or False. The product of two fractions
between 0 and 1 is also between 0 and 1. True
Slide 64
Multiply Fractions True or False. The product of a mixed number
between 4 and 5 and a fraction between 0 and 1 is less than 4.
Slide 65
Multiply Fractions True or False. The product of a mixed number
between 4 and 5 and a fraction between 0 and 1 is less than 4. 9 9
81 False; 4 10 x 10 = 4 100
Slide 66
Multiply Fractions True or False. The product of two mixed
number between 4 and 5 is between 4 and 5.
Slide 67
Multiply Fractions True or False. The product of two mixed
number between 4 and 5 is between 4 and 5. True
Slide 68
Multiply Fractions Agenda Notes No Homework Homework Practice
6.4.3 Show all work. Bring to my desk when complete. Mid-Chapter
6.4 Quiz Wednesday, Oct 8