multiply mixed numbers
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7/23/2019 Multiply Mixed Numbers
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I don’t know what you’ve been told
Fractions are the way to go
Fractions, fractions, don’t you know?
Each operation has a different flow
Sound off, 7/8
Knock it on down , 3/4
All the way down, 5/8, 1/2, 3/8, 1/4!
Adding and subtracting are so cool
It’s quite easy, here’s the rule
Change the denominators so they match
Then add the numerators, that’s the
catch
Sound off, 7/8
Knock it on down , 3/4
All the way down, 5/8, 1/2, 3/8, 1/4!
Multiplication rules, we can name
The denominators aren’t the sameMultiply the tops and then the bottoms
Simplify and then you got ‘em!
Sound off, 7/8
Knock it on down , 3/4
All the way down, 5/8, 1/2, 3/8, 1/4!
Dividing fractions, that’s the test
It’s more confusing than the rest
We don’t divide we multiply
By the reciprocal, and that’s no lie!
Sound off, 7/8
Knock it on down , 3/4
All the way down, 5/8, 1/2, 3/8, ooh rah!
7/23/2019 Multiply Mixed Numbers
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Learn to multiply mixed numbers.
Course 1
5 Multiplying Mixed Numbers
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Course 1
5 Multiplying Mixed Numbers
To write a mixed number as an improper fraction,start with the whole number, multiply by thedenominator, and add the numerator. Use the
same denominator.
Remember!
1
5 __
11 • 5 + 1
5 _________ 6
5
__ = =
7/23/2019 Multiply Mixed Numbers
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Course 1
5 Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions
and Mixed Numbers
Multiply. Write the answer in simplest form.
A.•
1
1
4
__ 1
3
__
Write 1 as an improper fraction. 1 =4
3 __1
3 __1
3 __1
4 __ 4
3 __
•
1 • 4
4 • 3 _____ Multiply numerators. Multiply denominators.
4
12 __
1
3 __ Write the answer in simplest form.
7/23/2019 Multiply Mixed Numbers
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Course 1
5 Multiplying Mixed Numbers
1.Wr i te down the pr obl em
2.Whol e Number ? Put a 1 under i t.
3.Mi xed Number ? Make i nto i mpr oper f racti on
4.Cr oss Cancel both si des
5.Mul ti pl y str ai ght acr oss
6.R educe if necessary. Don’t over r educe!
7.I mpr oper Fr acti on? Stewi e? Make i nto Mi xed
Number
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Course 1
5 Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions
and Mixed Numbers
Multiply. Write the answer in simplest form.
B. 3•
1
2
__ 4
5
__
Write 3 as an improper fraction. 3 =7
2 __1
2 __1
2 __7
2 __ 4
5 __
•
7 • 4
2 • 5 _____ Multiply numerators. Multiply denominators.
28
10 __
14
5 __ Write the answer in simplest form. You
can write the answer as a mixed number.
4
5 __
= 2
7/23/2019 Multiply Mixed Numbers
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5 Multiplying Mixed Numbers
Try This: Example 1B
Multiply. Write each answer in simplest form.
B. 2 •
2
3 __ 5
6 __
Write 2 as an improper fraction. 2 = 83
__23
__23
__83
__ 56
__•
8 • 5
3 • 6 _____ Multiply numerators. Multiply denominators.
4018
__
20
9 __ Write the answer in simplest form. You
can write the answer as a mixed number.
2
9 __
= 2
7/23/2019 Multiply Mixed Numbers
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5 Multiplying Mixed Numbers
Try This: Example 1C
Multiply. Write each answer in simplest form.
C. • 314
15 __ 2
7 __
Write 3 as an improper fraction. 3 =23
7 __2
7 __2
7 __1415 __ 237 __•
2 • 2315 • 1
______
Use the GCF to simplify before multiplying.
46
15 __ You can write the answer as a mixed
number.
1
15 __
= 3
2
1
14
15 __ 23
7 __
•
7/23/2019 Multiply Mixed Numbers
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5 Multiplying Mixed Numbers
Additional Example 2C: Multiplying Mixed
NumbersFind each product. Write the answer in simplest form.C. 2 • 4
2
5 __
Use the Distributive Property.
Add.
4
5 __8 +
2 • 42
5
__
2 • (4 + )2
5 __
(2 • 4) + ( 2 • )
2
1 __
Multiply.
(2•
4) + (•
)
2
5 __
2
5 __
4
5 __8
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5 Multiplying Mixed Numbers
Try This: Example 2A
Find each product. Write the answer in simplest form.
A. 1 • 23
4 __ 1
6 __
7
4
__ 13
6
__•
7 • 13
4 • 6 ______
Multiply numerators. Multiply denominators.
91
24
__
19
24 __ You can write the improper fraction as a
mixed number.
Write the mixed numbers as improper
fractions. 1 = 2 =7 4
__ 136
__34
__ 16
__
3
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5 Multiplying Mixed Numbers
Try This: Example 2B
Find each product. Write the answer in simplest form.
B. 1 • 32
9 __ 3
5 __
11
9
__ 18
5
__•
11 • 2
1•
5
______
Use the GCF to simply before multiplying.
22
5 __
Multiply numerators. Multiply denominators.
Write the mixed numbers as improper
fractions. 1 = . 3 =119
__ 185 __29
__ 35 __
Simplify.2
5 __
4
11
9 __ 18
5 __
•
2
1
7/23/2019 Multiply Mixed Numbers
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5 Multiplying Mixed Numbers
Try This: Example 2C
Find each product. Write the answer in simplest form.
C. 3 • 61
5 __
Use the Distributive Property.
Add.
3
5 __18 +
3 • 61
5
__
3 • (6 + )1
5 __
(3 • 6) + ( 3 • )
3
1 __
Multiply.
(3•
6) + (•
)
1
5 __
1
5 __
3
5 __18
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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?
2
Insert Lesson Title Here
Course 1
5 Multiplying Mixed Numbers
5
8
__ 1
5
__ •
5
7
__ 7
10
__ •
14
__ 15
__ 15
__ 16
1
2
__
120 __
13
14
__
2 34
__
grain7
40
__
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