# Multiplying Mixed Numbers (Mixed Numerals) Contributed by: This pdf includes the multiplication of mixed numbers (mixed numerals) and how to multiply them with examples for better understanding.
1. 5-8
5-8 Multiplying
MultiplyingMixed
MixedNumbers
Numbers
Warm Up
Problem of the Day
Lesson Presentation
Course1 1
2. 5-8 Multiplying Mixed Numbers
Warm Up
Multiply.
1. 1 __
__ 1 __
1 2. 4 __
__ 3 3
__
• •
3 2 6 5 8 10
3. 3 •2
__ 6
__ 4. 3 __
__ 5 15
__

11 11 8 8 64
Course 1
3. 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?
7
__
8
Course 1
4. 5-8 Multiplying Mixed Numbers
Learn to multiply mixed numbers.
Course 1
5. 5-8 Multiplying Mixed Numbers
Remember!
To write a mixed number as an improper fraction,
denominator, and add the numerator. Use the
same denominator.
1
__ 1•5+1 6
1 5 = _________ = __
5 5
Course 1
6. 5-8 Multiplying Mixed Numbers
and Mixed Numbers
Multiply. Write each answer in simplest form.
1
__ 1
• 1 __
4 3
1
__ 4
__ 1
__ 1
__ 4
__
• Write 1 as an improper fraction. 1 =
4 3 3 3 3
1•4
_____ Multiply numerators. Multiply denominators.
4•3
4
__
12
1
__ Write the answer in simplest form.
3
Course 1
7. 5-8 Multiplying Mixed Numbers
and Mixed Numbers
Multiply. Write each answer in simplest form.
1 4
3 __ • __
2 5
7 4 1 1 7
__ •
__ Write 3 __ as an improper fraction. 3 __ = __
2 5 2 2 2
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
8. 5-8 Multiplying Mixed Numbers
and Mixed Numbers
Multiply. Write each answer in simplest form.
12
__ • 2 __ 3
13 8
12
__ • 19 3 3 19
__ Write 2 __ as an improper fraction. 2 __= __
13 8 8 8 8
3 12
__ • 19
__ Use the GCF to simplify before multiplying.
13 8
2
3 • 19
______
13 • 2
57
__ 5
__
=2 You can write the answer as a mixed number.
26 26
Course 1
9. 5-8 Multiplying Mixed Numbers
Check It Out: Example 1A
Multiply. Write each answer in simplest form.
1
__ 1
__
9 • 1 2
1 3 1 1 3
__

__ Write 1 __ as an improper fraction. 1 __ = __
9 2 2 2 2
1•3
_____ Multiply numerators. Multiply denominators.
9•2
3
__
18
1
__ Write the answer in simplest form.
6
Course 1
10. 5-8 Multiplying Mixed Numbers
Check It Out: Example 1B
Multiply. Write each answer in simplest form.
2
__ 5
__
2 3 • 6
8 5 2 2 8
__ •
__ Write 2 __ as an improper fraction. 2 __ = __
3 6 3 3 3
8•5
_____ Multiply numerators. Multiply denominators.
3•6
40
__
18
20 2
__ = 2 __ Write the answer in simplest form. You
9 9 can write the answer as a mixed number.
Course 1
11. 5-8 Multiplying Mixed Numbers
Check It Out: Example 1C
Multiply. Write each answer in simplest form.
14 2
__ • 3 __
15 7
14
__ • 23 2
__ 2
__ 23
__ Write 3 as an improper fraction. 3 = __
15 7 7 7 7
2 14
__ • 23
__ Use the GCF to simplify before multiplying.
15 71
2 • 23
______
15 • 1
46
__ 1
__ You can write the answer as a mixed
=3
15 15 number.
Course 1
12. 5-8 Multiplying Mixed Numbers
Additional Example 2A: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
2
__ 1
__
1 3 •2 7
5
__ 15
__ Write the mixed numbers as improper
• 1 15
3 7 2 5 __
fractions. 1 __ = __ 2 = __
5 • 15 3 3 7 7
______
Multiply numerators. Multiply denominators.
3 • 7
75
__
21
12
__ You can write the improper fraction as a
3
21 mixed number.
4
3 __ Simplify.
7
Course 1
13. 5-8 Multiplying Mixed Numbers
Additional Example 2B: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
3 2
1 __ • 2 __
8 5
Write the mixed numbers as improper
11
__ • 12
__
3 11 2
__ 12
8 5 __
fractions. 1 = __ 2 = __
3 8 8 5 5
11
__ 12 __
• Use the GCF to simply before multiplying.
8 5
2
11 • 3
______ Multiply numerators. Multiply denominators.
2•5
33
__
10
3
3 __ Simplify.
10
Course 1
14. 5-8 Multiplying Mixed Numbers
Additional Example 2C: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form.
2
__
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
5
Course 1
15. 5-8 Multiplying Mixed Numbers
Check It Out: Example 2A
Find each product. Write the answer in simplest form.
3
__ 1
__
1 • 2
4 6
7
__ 13
__ Write the mixed numbers as improper
• 1 13
4 6 3 7 __
fractions. 1 __ = __ 2 = __
7 • 13 4 4 6 6
______
Multiply numerators. Multiply denominators.
4 • 6
91
__
24
19
__ You can write the improper fraction as a
3
24 mixed number.
Course 1
16. 5-8 Multiplying Mixed Numbers
Check It Out: Example 2B
Find each product. Write the answer in simplest form.
2 3
1 __ • 3 __
9 5
Write the mixed numbers as improper
11
__ • 18
__
2 11 3
__ 18
9 5 __
fractions. 1 = __ . 3 = __
2 9 9 5 5
11
__ 18 __
• Use the GCF to simply before multiplying.
1 9 5
11 • 2
______ Multiply numerators. Multiply denominators.
1•5
22
__
5
2
4 __ Simplify.
5
Course 1
17. 5-8 Multiplying Mixed Numbers
Check It Out: Example 2C
Find each product. Write the answer in simplest form.
1
__
3•6
5
1
3 • 6 __
5
1
3 • (6 + __)
5
1
(3 • 6) + ( 3 •__ ) Use the Distributive Property.
5
3 1
(3 • 6) + (__ • __)
1 5
3
18 + __ Multiply.
5
3
5
Course 1
18. 5-8 Multiplying Mixed Numbers
Lesson Quiz
Multiply. Write each answer in simplest form.
1 __ 5 7 5
__ 3
1. 3 __
• 2 __
2. 1 • 1 __
5 8 10 7 14
Find each product. Write the answer in simplest form.
1 1 1
3. 2 __ • 1 __ 2 __
3 4. 5 •__
3 16
5 4 4 5
1
__
5. A nurse gave a patient 3 tablets of a medication. If each
2
1
__
tablet contained grain of the medication, how much
20
7
__
medication did the patient receive? grain
40
Course 1