1. Warm Up
Multiply. 7 9 3 6 1. 9 8 6 5 2. 1 5 3. 2 7 1 2 1 4 4. 2
· 1

2. ANSWERS Warm Up Multiply. 4. 7 9 3 6 7 18 1. · 9 8 6 5 27 20 7 or 1 2.77 5
or 15 1 5 3. 2 7 1 2 1 4 25 8
or 3 1 4. 2
· 1

3. 4 1 5 SKILLS to REVIEW Decimal Review Fraction Review x – 14.23 = 19.5
–9.72 ÷ 2.7
7.62 · (–5.4)
– (–19.2) 1 3 1 12 – 5 12 1 2 + 3 2 4 16 3 1 1 2 5 10 3

4. What are we doing today? Divide. Write each answer in simplest form. 45 1.
8 ÷ 5 9 2. 1 8 ÷ 3. 3 5 ÷ 6 3 4. 2 1 ÷ 7 1 4 3 4
5. There are 5
yards of silk in a roll. If it takes
of a yard to make one designer scarf, how many
scarves can be made from the roll?

5. Practice dividing fractions and mixed numbers.
I will…
Practice dividing fractions and mixed numbers.

6. Are we sharing evenly (dividing) into a certain
What do we NEED to know?
Are we sharing evenly (dividing) into a certain
SIZE of group
…Or… .
NUMBER of groups
???????????????????

7. Are we sharing evenly (dividing) into a certain SIZE of group
What does that MEAN?
Are we sharing evenly (dividing) into a certain
SIZE of group
Are we sharing evenly
(dividing) into a certain
NUMBER of groups
8 ÷ 4 (8 items shared evenly with 4 in each group)
8 ÷ 4 (8 items shared evenly into 4 groups)

8. How does that work with FRACTIONS?
Are we sharing evenly (dividing) into a certain
SIZE of group
Are we sharing evenly
(dividing) into a certain
NUMBER of groups
8 ÷ ½ (8 items shared evenly with ½ in each group)
8 ÷ ½ (8 items shared evenly into ½ of a group)

9. DRAW to make sense of these!
SIZE of the group?
NUMBER of groups?
2 ÷ 1/3
7 ÷ ¼
4 ÷ 1/6
¾ ÷ ¼

10. Can you MAKE SENSE of these?
SIZE of the group?
NUMBER of groups?
5 ÷ 3/4
¾ ÷ 2/3
5/6 ÷ 2/5
7 ÷ 2/5

11. Example 1: Dividing Fractions
Divide. Write each answer in simplest form. 3 7 2 5 ÷ A. 3 7 2 5 3 7 5 2 2 5 ÷ =
Multiply by the reciprocal of . 3 7 5 = 2 15 14 14 1 =
or 1 3 8 B. ÷ 12 3 8 1 3 8
Multiply by the reciprocal of 12. ÷ 12 = 12 1 3 8 1
Simplify. = 12 4 1 = 32

12. I try!
Practice
Divide. Write each answer in simplest form.
1a. 3/5 ÷ ½
1b. 3/4 ÷ 3

13. Example 2: Dividing Mixed Numbers
Divide. Write each answer in simplest form. 2 3 1 4 A. 5 ÷ 1
Write mixed numbers as improper
fractions. 2 3 17 3 5 4 5 1 4 ÷ 1 = ÷ 17 3 4 5 5 4 =
Multiply by the reciprocal of . 68 15 =
or 4 8 15 3 4 1 2 B. ÷ 2
Write 2 as an improper fraction. 1 2 3 4 1 2 3 4 5 2 ÷ 2 = ÷ 5 2 3 4 2 5 =
Multiply by the reciprocal of . 1 3 2
Simplify. = 4 5 2 3 10 =

14. Example 2: Dividing Mixed Numbers
Divide. Write the answer in simplest form. 2 3 13 27 C. 8 ÷ 8 2 3 ÷ 13 27 = 26 3 ÷ 13 27
Write 8 as an improper fraction. 2 3 = 26 3 27 13
Multiply by the reciprocal of . 13 27 2 9 = 26 3 27 13 1 1 = 18 1
or 18

15. I try! Practice 2a. 3 2/3 ÷ 1 ½ 2b. 3/5 ÷ 1 2/5 2c. 7 1/5 ÷ 18/5
Divide. Write each answer in simplest form.
2a. 3 2/3 ÷ 1 ½
2b. 3/5 ÷ 1 2/5
2c /5 ÷ 18/5

16. Vocabulary
reciprocal

17. Dividing by a number is the same as multiplying by its reciprocal.
Reciprocals can help you divide by fractions. Two numbers are reciprocals or multiplicative inverses if their product is 1. The reciprocal of is 3 because 1 3 1 3
· 3 = 1.
Dividing by a number is the same as multiplying by its reciprocal.
2 ÷ 1 3
= 2 · 3 = 6

18. Example 3: Social Studies Application
The life span of a golden dollar coin is 30 years, while
paper currency lasts an average of 1 years. How many 1 2
times longer will the golden dollar stay in circulation? 1 2 30 1 3 2
30 ÷ 1 = ÷
Write the number as an improper fraction. 30 1 2 3 3 2 =
Multiply by the reciprocal of . 10 30 2 =
Simplify. 1 3 1 20 1 =
or 20
The golden dollar will stay in circulation about
20 times longer than paper currency.

19. The queen ant will live 7 times longer than the worker ant.
Practice 3
The average life of a queen ant is approximately 3 years.
The life span of a worker ant is year. How many 3 7
times longer will the queen ant live? 3 7 3 1 3 7
3 ÷ = ÷
Write the number as an improper fraction. 3 1 7 3 3 7 =
Multiply by the reciprocal of . 1 3 7 =
Simplify. 1 3 1 7 1 =
or 7
The queen ant will live 7 times longer than the
worker ant.

20. Problem of the Day
The Jeffers family is putting in a new fence around their yard. The yard is in the shape of a square. If they put nine fence posts on each side of the square, how many posts will be used? 32

21. Lesson
Quiz

22. Divide. Write each answer in simplest form.
Lesson Quiz
Divide. Write each answer in simplest form. 4 5 1.
8 ÷ 5 9 2. 1 8 ÷ 3. 3 5 ÷ 6 3 4. 2 1 ÷ 7 1 4 3 4
5. There are 5
yards of silk in a roll. If it takes
of a yard to make one designer scarf, how many
scarves can be made from the roll?

23. Divide. Write each answer in simplest form.
Lesson Quiz - ANSWERS
Divide. Write each answer in simplest form. 4 5 1.
8 ÷ 10 5 9 4 9 40 or 2. 1 8 ÷ 1 10 3. 3 5 ÷ 6 3 4. 2 1 ÷ 7 35 44 1 4 3 4
5. There are 5
yards of silk in a roll. If it takes
of a yard to make one designer scarf, how many
scarves can be made from the roll? 7

24. ÷ Check It Out Divide. Write each answer in simplest form. C. D. ÷ ÷ 35 1 2 ÷ C. 3 5 1 2 3 5 2 1 1 2 ÷ =
Multiply by the reciprocal of . 3 5 2 = 1 6 5 1 =
or 1 5 3 4 D. ÷ 3 3 4 1 3 4
Multiply by the reciprocal of 3. ÷ 3 = 3 1 3 4 1
Simplify. = 3 1 1 = 4

25. Check It Out: Example 2 Divide. Write each answer in simplest form. 23 1 2 D. 3 ÷ 1
Write mixed numbers as improper
fractions. 2 3 11 3 3 2 3 1 2 ÷ 1 = ÷ 11 3 2 3 3 2 =
Multiply by the reciprocal of . 22 9 =
or 2 4 9 3 5 2 5 E. ÷ 1
Write 1 as an improper fraction. 2 5 3 5 2 5 3 5 7 5 ÷ 1 = ÷ 7 5 3 5 5 7 =
Multiply by the reciprocal of . 1 3 5
Simplify. = 5 7 1 3 7 =

26. Check It Out: Example 2 Divide. Write the answer in simplest form. 1 518 5 F. 7 ÷ 7 1 5 ÷ 18 = 36 5 ÷ 18
Write 7 as an improper fraction. 1 5 = 36 5 5_ 18
Multiply by the reciprocal of 18 5 2 1 = 36 5 18 1 1 = 2 1
or 2