5-2 Multiplying Mixed Numbers
Today I will multiply mixed numbers.
Course 1
5-2 Multiplying Mixed Numbers
Remember!
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.
1
__
1 5
Course 1
1•5+1
6
= _________ = __
5
5
5-2 Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions
and Mixed Numbers
Multiply. Write the answer in simplest form.
1
1
__
__
A. 4 • 1 3
1
4
__
__
•
4
3
1•4
_____
4•3
4
__
12
1
__
3
Course 1
1
1
4
Write 1 __ as an improper fraction. 1 __= __
3
3
3
Multiply numerators. Multiply denominators.
Write the answer in simplest form.
5-2 Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions
and Mixed Numbers
Multiply. Write the answer in simplest form.
1
4
__
__
B. 3 2 • 5
1
1
7
7
4
__
__
__
__
__
Write
3
as
an
improper
fraction.
3
=
•
2
2
2
2
5
7•4
_____
Multiply numerators. Multiply denominators.
2•5
28
__
10
14
4 Write the answer in simplest form. You
__
__
=2
5
5 can write the answer as a mixed number.
Course 1
5-2 Multiplying Mixed Numbers
Additional Example 2A: Multiplying Mixed
Numbers
Find each product. Write the answer in simplest form.
1
2
__
__
A. 1 3 • 2 7
Write the mixed numbers as improper
5
15
__
__
•
1
15
2
5
3
7
fractions. 1 __ = __
2 __ = __
7
7
3
3
5
•
15
______
Multiply numerators. Multiply denominators.
3 • 7
75
__
21
12
You can write the improper fraction as a
__
3
mixed number.
21
4
Simplify.
3 __
7
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 2B
Find each product. Write the answer in simplest form.
3
2
__
__
B. 1 9 • 3 5
Write the mixed numbers as improper
11
__ • 18
__
3
18
2
11
__
__
__
fractions. 1 =
. 3
= __
9
5
5
5
9
9
2
11
__ • 18
__
Use the GCF to simply before multiplying.
5
1 9
11 • 2
______
Multiply numerators. Multiply denominators.
1•5
22
__
5
2
4 __
5
Course 1
Simplify.
5-2 Multiplying Mixed Numbers
Additional Example 2C: Multiplying Mixed
Numbers
Find each product. Write the answer in simplest form.
2
__
C. 2 • 4 5
2
2 • 4 __
5
2
2 • (4 + __)
5
2
(2 • 4) + ( 2 • __ )
Use the Distributive Property.
5
2 2
(2 • 4) + (__ • __)
1 5
4
8 + __
Multiply.
5
4
8 __
Add.
5
Course 1
5-2 Multiplying Mixed Numbers
Try This: Example 2C
Find each product. Write the answer in simplest form.
1
__
C. 3 • 6 5
1
3 • 6 __
5
1
3 • (6 + __)
5
1
(3 • 6) + ( 3 • __ )
5
3 1
(3 • 6) + (__ • __)
1 5
3
18 + __
5
3
18 __
5
Course 1
Use the Distributive Property.
Multiply.
Add.
5-2 Multiplying
Insert Lesson
Mixed
Title
Numbers
Here
Lesson Quiz
Multiply. Write each answer in simplest form.
5
1 5
7
3
1. 3 __ • __ 2
2. 1 __ • __ 1 __
7
5 8
10
14
Find each product. Write the answer in simplest form.
1
1
3. 2 __ • 1 __
5
4
3
2 __
4
1
4. 5 • 3 __
5
16
1 tablets of a medication. If each
5. A nurse gave a patient 3 __
2
1
tablet contained __ grain of the medication, how much
20
7
medication did the patient receive? __ grain
40
Course 1