1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up Multiply. 1. 2. 3. 4. 1 2 __ 3 • 1 6 __ • 4 5 __ 3 8 3 10 __ 3 1 2 __ 3 • 1 6 __ • 4 5 __ 3 8 3 10 __ 3 11 __ 6 11 __ 3 8 __ 5 8 __ 15 64 __
• 2 •

3. 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. Learn to multiply mixed numbers.

5. 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 each answer in simplest form.
Additional Example 1A: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 1 4 __ 1 3 __
• 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 each answer in simplest form.
Additional Example 1B: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 1 2 __ 4 5 __
3 • 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 each answer in simplest form.
Additional Example 1C: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 12 13 __ 3 8 __
• 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.
Check It Out: Example 1A
Multiply. Write each answer in simplest form. 1 9 __ 1 2 __
• 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.
Check It Out: Example 1B
Multiply. Write each answer in simplest form. 2 3 __ 5 6 __
2 • 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.
Check It Out: Example 1C
Multiply. Write each answer in simplest form. 14 15 __ 2 7 __
• 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. Remember!
You can estimate the product to see whether your answer is reasonable.

13. Find each product. Write the answer in simplest form.
Additional Example 2A: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 3 __ 1 7 __
1 • 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.

14. Find each product. Write the answer in simplest form.
Additional Example 2B: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 3 8 __ 2 5 __
1 • 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.

15. Find each product. Write the answer in simplest form.
Additional Example 2C: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 5 __
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.

16. Find each product. Write the answer in simplest form.
Check It Out: Example 2A
Find each product. Write the answer in simplest form. 3 4 __ 1 6 __
1 • 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

17. Find each product. Write the answer in simplest form.
Check It Out: Example 2B
Find each product. Write the answer in simplest form. 2 9 __ 3 5 __
1 • 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.

18. Find each product. Write the answer in simplest form.
Check It Out: Example 2C
Find each product. Write the answer in simplest form. 1 5 __
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.

19. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

20. Lesson Quiz Multiply. Write each answer in simplest form. 1. 3 2. 1
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 __ 2 3 4 __ 1 5 __ 16 2 __ 1 20 __ 1
grain 7 40 __

21. Lesson Quiz for Student Response Systems
1. Multiply and identify the answer in simplest form.
A C. 3
B D. 4

22. Lesson Quiz for Student Response Systems
2. Multiply and identify the answer in simplest form.
A C.
B D.

23. Lesson Quiz for Student Response Systems
3. Multiply and identify the answer in simplest form.
A C.
B D.

24. Lesson Quiz for Student Response Systems
4. Multiply and identify the answer in simplest form.
A C. 17
B D. 18

25. Lesson Quiz for Student Response Systems
5. Rita used pounds of vegetables for cooking. If each pound of vegetables contains pound of proteins, how much protein is in the meal?
A C.
B D.