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

2. Multiply. Write each answer in simplest form.
Warm Up
Multiply. Write each answer in simplest form.
• 2
• 3
• 3
• 1 1 2 __ 5 1 2 __ 1 2 __ 21 4 __ 1 4 _
or 5 1 3 __ 10 1 5 __ 1 4 __ 11 4 __ 3 4 __
or 2

3. Problem of the Day
Rachel is building a doghouse. She needs to cut a 12-foot-long board into lengths of 65 in. How many lengths can she cut, and will there be any wood left? If so, how much?
2 lengths; yes, 14 in.

4. Learn to divide fractions and mixed numbers.

5. Vocabulary
reciprocal

6. Reciprocal: 2 numbers whose product = 1
Reciprocals help you divide fractions.

7. Find the reciprocal. 1 9 __ 1 9 __ 1 9 __ • = 1
• = 1
Think: of what number is 1? 1 9 __ 1 9 __
• 9 = 1 1 9 __ 9 1 __
of is 1. 1 9 __
The reciprocal of is 9.

8. Find the reciprocal. 2 3 __ 2 3 __ • = 1 2 3 __
• = 1 2 3 __
Think: of what number is 1? 2 3 __ 3 2 __ 6 __ 2 3 __ 3 2 __
• = = 1
of is 1. 2 3 __ 3 2 __
The reciprocal of is .

9. Find the reciprocal. 3 1 5 __ 16 5 __ 16 5 __ Write 3 as . • = 1 16 5
• = 1 16 5 __ 5 16 __ 80 __ 16 5 __ 5 16 __
• = = 1
of is 1. 16 5 __ 5 16 __
The reciprocal of is

10. Find the reciprocal. 1 4 __ 1 4 __ • = 1 Think: of what number is 1? 1
• = 1
Think: of what number is 1? 1 4 __ 1 4 __
• 4 = 1 1 4 __ 4 1 __
of is 1. 1 4 __
The reciprocal of is 4.

11. Find the reciprocal. 4 5 __ 4 5 __ • = 1 4 5 __
• = 1 4 5 __
Think: of what number is 1? 4 5 __ 5 4 __ 20 __ 4 5 __ 5 4 __
• = = 1
of is 1. 4 5 __ 5 4 __
The reciprocal of is .

12. Find the reciprocal. 4 1 8 __ 1 8 __ 33 8 __ 33 8 __ • = 1 33 8 __ 8
Write as .
• = 1 33 8 __ 8 33 __
___ 33 8 __ 8 33 __
• = = 1
of is 1. 33 8 __ 8 33 __
The reciprocal of is

13. Divide. Write each answer in simplest form.8 7 __
÷ 7 8 7 __
Rewrite as multiplication using the
reciprocal of 7, 1 7 __ 8 7 __ 1 7 __
÷ 7 = •
8 • 1
7 • 7
____ =
Multiply by the reciprocal. 8 49 __ =
The answer is in simplest form.

14. When you divide by a proper fraction, the quotient will be greater than the dividend. For example, since there are 8 halves in 4, 4  ½ = 8.
Caution!

15. ÷ 5 6 __ 2 3 __ Rewrite as multiplication using the reciprocal of , .
÷ = • 2 3 __ 3 2 __ 1
5 • 3
6 • 2
____ =
Simplify before multiplying. 2 5 4 __ =
Multiply. 1 4 __
You can write the answer as a mixed number.
= 1

16. Change ALL Mixed numbers to Improper fractions FIRST then divide3 4 __ 1 12 __
2 ÷ 1
Write the mixed numbers as
improper fractions =
and = 3 4 __ 1 12 __ 11 4 __ 13 12 __ 3 4 __ 11 4 __
2 ÷ = ÷ 1 12 __ 13 12 __ 11 4 __ 12 13 __ =
Rewrite as multiplication. • 3
11 • 12
4 • 13
______ =
Simplify before multiplying. 1 33 13 __ =
Multiply. 7 13 __
You can write the answer as a mixed number.
= 2

17. Divide. Write each answer in simplest form.2 3 __
÷ 3 2 3 __
Rewrite as multiplication using the
reciprocal of 3, . 1 3 __ 2 3 __ 1 3 __
÷ 3 = •
2 • 1
3 • 3
____ =
Multiply by the reciprocal. 2 9 __ =
The answer is in simplest form.

18. ÷ 7 10 __ 1 5 __ Rewrite as multiplication using the reciprocal of , .
÷ = • 1 5 __ 5 1 __ 1
7 • 5
10 • 1
____ =
Simplify before multiplying. 2 7 2 __ =
Multiply. 1 2 __
You can write the answer as a mixed number.
= 3

19. 3 ÷ 1 2 3 __ 1 9 __ Write the mixed numbers as improper fractions. 3 =
3 ÷ 1
Write the mixed numbers as
improper fractions =
and = 2 3 __ 1 9 __ 11 3 __ 10 9 __
÷ = ÷ 2 3 __ 11 3 __ 1 9 __ 10 9 __ 11 3 __ 9 10 __ =
Rewrite as multiplication. • 3
11 • 9
3 • 10
______ =
Simplify before multiplying. 1 33 10 __ =
Multiply. 3 10 __
You can write the answer as a mixed number.
= 3

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

21. Divide. Write each answer in simplest form. 3. ÷ 20 4. 3 ÷ 2
Lesson Quiz
Find the reciprocal.
Divide. Write each answer in simplest form.
÷ ÷ 2
5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? 1 11 __ 11 1 __ 8 13 __
13 8 __ 1 2 __ 1 2 __ 7 5 __ 2 5 __ 4 7 __ 1 35 __
, or 1 3 4 __ 1 4 __
11 bags

22. Lesson Quiz for Student Response Systems
1. Identify the reciprocal of
A. – C.
B D. 15

23. Lesson Quiz for Student Response Systems
2. Identify the reciprocal of
A C.
B D.

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

25. Lesson Quiz for Student Response Systems
4. Divide and identify the answer in the simplest form.
A C.
B D.

26. Lesson Quiz for Student Response Systems
5. In her pet care center, Nelson has pounds of cat food. He plans to feed a cat with pound of cat food. How many cats can he feed?
A. 13 cats C. 11 cats
B. 12 cats D. 10 cats