1. Change each mixed number to an improper fraction.
Do Now
Change each mixed number to an improper fraction. 2 3 1 2 5 8 5 6

2. Learn to multiply fractions and mixed numbers.

3. To multiply fractions:
Change any mixed numbers into improper fractions
Write any whole numbers as fractions
Simplify
Multiply numerators
Multiply denominators

4. The rule for multiplying negative fractions is the same as integers:
Both signs same – product is positive
One positive and one negative – product is negative

5. Multiply. Write the answer in simplest form.
Example A
Multiply. Write the answer in simplest form. 3 1 3 5 1 4 – = 3 20 – – = 5 4 1 1 3 1 3 8 1 = = 3 8 8 1

6. Example 1
Multiply. Write the answer in simplest form. 3 12 3
–12 ·
= – 4 1 4 3
12 · 3 = –
1 · 4 1 9
= –
= –9 1

7. Example 2
Multiply. Write the answer in simplest form. 2 2 2 5 1 = 5 3 5 3 1 2 5 2 = = 5 3 3 1

8. Multiply. Write the answer in simplest form. 3 3 21 15 21 15 · A. 4 2
You Try
Multiply. Write the answer in simplest form. 3 3 21 15 1 1 21 15 A. 4 2 = 9 =
or 9 = 5 7 5 5 7 7 1 1 1

10. Steps for Dividing Fractions
Change mixed numbers to improper fractions
Keep the first fraction
Change division to multiplication
Take the reciprocal of the second fraction
Examples:
Reciprocal of 
Reciprocal of 
Multiply
**Keep, Change, Flip** 10

11. The rule for dividing negative fractions is the same as integers:
Both signs same - product is positive
One positive and one negative - product is negative

12. ÷ Example B Divide. Write each answer in simplest form. A. B. ÷ 15 143 7 2 5 3 7 ÷ 3 7 5 2 5
or 1 A. = = = 2 3 8 3 8 1 B. ÷ 12 = 12 1 3 8 1 = 12 4 1 = 32 12

13. Example B Divide. Write each answer in simplest form. 2 3 1 4 ÷ 1 A. 517 3 5 4 A. 5 ÷ 17 3 = 4 5 = 68 15 =
or 4 8 15 13

14. toll. What was the toll in 1995?
Example 3
In 2001, the car toll on the George Washington Bridge was $6.00. In 1995 the toll was 2
of that 3
toll. What was the toll in 1995? 2 3
6 · = + 1 3 + 1 3 + 1 3 + 1 3 + 1 3 + 1 3 = 12 3 1 3 = 4 1
Simplify. 1 1 1 1
= $4.00
Divide 4 by 1 to write the fraction as a decimal.
The George Washington Bridge toll for a car was $4.00 in 1995.

15. In 2002, the fee to park in a parking garage was
You Try
In 2002, the fee to park in a parking garage was
$4. In 2000 the fee was of the fee in 2002.
What was the fee in 2000? 3 4 3 4
4 · = + + 1 4 = 12 4 1 4 = 3 1 1
Simplify.
= $3.00
Divide 3 by 1 to write the fraction as a decimal.
The fee to park in the parking garage was $3.00 in 2000.

16. Lesson Quiz: Part I
Multiply. Write each answer in simplest form. 1 5 5 48 1. 3 4 2 7 8 4. 8 6 16 3 5 1 2 35 12 or 11 2 1 2. 5
5. –16 · 6 4 1 2 17 2 1
or 8 1 6 3. 5 1 6. 10 3 6 9

17. Multiply. Write the answer in simplest form.
Lesson Quiz: Part II
Multiply. Write the answer in simplest form. 1 5.
A recipe for clam chowder calls for 2
pounds of 4
butter. If you prepare one-half of the recipe, how
much butter do you need? 1 8
pounds

18. Lesson Quiz for Student Response Systems
1. Multiply. Write your answer in simplest form.
A C.
B D.
1 9
4 5
4 45
1 9
1 6
1 10

19. Lesson Quiz for Student Response Systems
2. Multiply. Write your answer in simplest form.
4 ·
A or 5 C. or 1
B or 3 D.
4 5
1 3
17 3
2 3
8 5
3 5
16 5
1 5
4 5

20. Lesson Quiz for Student Response Systems
3. Multiply. Write your answer in simplest form.
6 · 1
A or 8 C. or 5
B or 6 D. or 4
1 4
2 5
35 4
3 4
26 5
1 5
27 4
3 4
24 4
4 5

21. Lesson Quiz for Student Response Systems
4. Multiply. Write your answer in simplest form.
· 3
A C. or 1
B D. 1
5 18
4 5
8 9
19 18
1 18
17 18
1 9

22. Lesson Quiz for Student Response Systems
3 4
5. To prepare one bowl of salad, pounds
of vegetables are required. How many pounds of vegetables are required to prepare one-third bowl of salad?
A lb C. 1 lb
B lb D. 1 lb
1 4
3 4
1 2
3 5