1. Multiplying Mixed Numbers
5-2
Multiplying Mixed Numbers
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. Multiplying Mixed Numbers
Course 1
5-2
Multiplying Mixed Numbers
Warm Up
Multiply. 1 2 __ 3 • 1 6 __ • 4 5 __ 3 8 3 10 __ 3 11 __ 6 11 __ 3 8 __ 5 8 __ 15 64 __
• 2 •

3. Multiplying Mixed Numbers
Course 1
5-2
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 __

4. Multiplying Mixed Numbers
Course 1
5-2
Multiplying Mixed Numbers
Learn to multiply mixed numbers.

5. Multiplying Mixed Numbers
Course 1
5-2
Multiplying Mixed Numbers
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.
Remember! 1 5 __
1 • 5 + 1 5
_________ 6 5 __ 1 = =

6. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 1 4 __ 1 3 __
A. • 1 1 4 __ 3 •
Write as an improper fraction = 4 3 __ 1
1 • 4
4 • 3
_____
Multiply numerators. Multiply denominators. 4 12 __ 1 3 __
Write the answer in simplest form.

7. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 1 2 __ 4 5 __
B • 7 2 __ 4 5 •
Write as an improper fraction = 7 2 __ 1
7 • 4
2 • 5
_____
Multiply numerators. Multiply denominators. 28 10 __ 14 5 __ 4 5 __
Write the answer in simplest form. You can write the answer as a mixed number.
= 2

8. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1C: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 12 13 __ 3 8 __
C • 2 12 13 __ 19 8 •
Write as an improper fraction = 19 8 __ 3 3 12 13 __ 19 8 •
Use the GCF to simplify before multiplying. 2
3 • 19
13 • 2
______ 57 26 __ 5 26 __
= 2
You can write the answer as a mixed number.

9. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1A
Multiply. Write each answer in simplest form. 1 9 __ 1 2 __
A. • 1 1 9 __ 3 2 •
Write 1 as an improper fraction = 3 2 __ 1
1 • 3
9 • 2
_____
Multiply numerators. Multiply denominators. 3 18 __ 1 6 __
Write the answer in simplest form.

10. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1B
Multiply. Write each answer in simplest form. 2 3 __ 5 6 __
B • 8 3 __ 5 6 •
Write 2 as an improper fraction = 8 3 __ 2
8 • 5
3 • 6
_____
Multiply numerators. Multiply denominators. 40 18 __ 20 9 __ 2 9 __
Write the answer in simplest form. You can write the answer as a mixed number.
= 2

11. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1C
Multiply. Write each answer in simplest form. 14 15 __ 2 7 __
C • 3 14 15 __ 23 7 •
Write 3 as an improper fraction = 23 7 __ 2 2 14 15 __ 23 7 •
Use the GCF to simplify before multiplying. 1
2 • 23
15 • 1
______ 46 15 __ 1 15 __
You can write the answer as a mixed number.
= 3

12. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 2A: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 3 __ 1 7 __
A • 2 5 3 __ 15 7 •
Write the mixed numbers as improper
fractions = = 5 3 __ 15 7 2 1
5 • 15
3 • 7
______
Multiply numerators. Multiply denominators. 75 21 __ 12 21 __
You can write the improper fraction as a mixed number. 3 4 7 __ 3
Simplify.

13. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 2B: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 3 8 __ 2 5 __
B • 2
Write the mixed numbers as improper
fractions = = 11 8 __ 12 5 3 2 11 8 __ 12 5 • 3 11 8 __ 12 5 •
Use the GCF to simply before multiplying. 2
11 • 3
2 • 5
______
Multiply numerators. Multiply denominators. 33 10 __ 3 10 __ 3
Simplify.

14. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 2C: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 5 __
C. 2 • 4 2 5 __
2 • 4 2 5 __
2 • ( ) 2 5 __
(2 • 4) + ( 2 • )
Use the Distributive Property. 2 1 __ 2 5 __
(2 • 4) + ( • ) 4 5 __
8 +
Multiply. 4 5 __ 8
Add.

15. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 2A
Find each product. Write the answer in simplest form. 3 4 __ 1 6 __
A • 2 7 4 __ 13 6 •
Write the mixed numbers as improper
fractions = = 7 4 __ 13 6 3 1
7 • 13
4 • 6
______
Multiply numerators. Multiply denominators. 91 24 __ 19 24 __
You can write the improper fraction as a mixed number. 3

16. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 2B
Find each product. Write the answer in simplest form. 2 9 __ 3 5 __
B • 3
Write the mixed numbers as improper
fractions = = 11 9 __ 18 5 2 3 11 9 __ 18 5 • 2 11 9 __ 18 5 •
Use the GCF to simply before multiplying. 1
11 • 2
1 • 5
______
Multiply numerators. Multiply denominators. 22 5 __ 2 5 __ 4
Simplify.

17. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 2C
Find each product. Write the answer in simplest form. 1 5 __
C. 3 • 6 1 5 __
3 • 6 1 5 __
3 • ( ) 1 5 __
(3 • 6) + ( 3 • )
Use the Distributive Property. 3 1 __ 1 5 __
(3 • 6) + ( • ) 3 5 __
18 +
Multiply. 3 5 __ 18
Add.

18. Multiplying Mixed Numbers Insert Lesson Title Here
Course 1
5-2
Multiplying Mixed Numbers
Insert Lesson Title Here
Lesson Quiz
Multiply. Write each answer in simplest form.
Find each product. Write the answer in simplest form.
• • 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? 1 5 __ 5 8 __ 7 10 __ 5 7 __ 1 3 14 __ 2 • • 1 5 __ 1 4 __ 1 5 __ 2 3 4 __ 16 2 __ 1 20 __ 1
grain 7 40 __