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

2. What is of each of the following? 1. 24 2. 16 3. 30 4. 28 12 8
Warm Up
What is of each of the following? 1 2 12 8 15 14

3. Problem of the Day
At midnight Caitlin heard a forecaster say that it would be cloudy for exactly 72 hours and then would be sunny. Caitlin knew the forecaster was wrong. Explain.
There are 24 hours in a day, so 72 hours equals 3 days. In 3 days it would be midnight again, not sunny.

4. Learn to multiply fractions and mixed numbers.

5. To multiply fractions, multiply the
numerators to find the product’s
numerator. Then multiply the
denominators to find the product’s
denominator.

6. Additional Example 1A: Multiplying Fractions
Multiply. Write the answer in simplest form. 3
–12 · 4 3 12 3
–12 ·
= –
Write –12 as a fraction. 4 1 4 3
12 · 3 = –
Simplify.
1 · 4 1 9
Multiply numerators.
Multiply denominators.
= –
= –9 1
The product of two positive proper fractions is less than either fraction.
Helpful Hint

7. Additional Example 1B: Multiplying Fractions
Multiply. Write the answer in simplest form. 1 3 3 8 1 3 8 1 1 3 8 =
Simplify. 1 1
Multiply numerators.
Multiply denominators. = 8

8. Additional Example 1C: Multiplying Fractions
Multiply. Write the answer in simplest form. 3 1 – 5 4 3 5 1 4 –
The signs are different, so the answer will be negative. 3 5 1 4 – = = 3 20 –
Multiply numerators.
Multiply denominators.

9. Check It Out: Example 1A
Multiply. Write the answer in simplest form. 1
–16 · 4 1 16 1
–16 ·
= –
Write –16 as a fraction. 4 1 4 4
16 · 1 = –
Simplify.
1 · 4 1 4
Multiply numerators.
Multiply denominators.
= – –4 = 1

10. Check It Out: Example 1B
Multiply. Write the answer in simplest form. 1 6 6 9 1 6 9 1 1 6 9 =
Simplify. 1 1
Multiply numerators.
Multiply denominators. = 9

11. Multiply. Write the answer in simplest form.
Check It Out: Example 1C
Multiply. Write the answer in simplest form. 3 1 – 7 8 3 7 1 8 –
The signs are different, so the answer will be negative. 1 8 3 7 – = = 3 56 –
Multiply numerators.
Multiply denominators.

12. Additional Example 2A: Multiplying Mixed Numbers
Multiply. Write the answer in simplest form. 2 2 1 5 3 2 2 2 5
Write the mixed number as an
improper fraction. 1 = 3 5 3 5 1 2 5 =
Simplify. 5 3 1 2
Multiply numerators.
Multiply denominators. = 3

13. Additional Example 2B: Multiplying Mixed Numbers
Multiply. Write the answer in simplest form. 1 1 4 2 5 7 1 1 21 15 4 2 =
Write the mixed numbers as improper fractions. 5 7 5 7 3 3 21 15 =
Simplify. 5 7 1 1 9
Multiply numerators.
Multiply denominators.
or 9 = 1

14. Additional Example 2C: Multiplying Mixed Numbers
Multiply. Write the answer in simplest form. 2 2 6 4 3 5 2 2 20 22
Write the mixed numbers as improper fractions. 6 4 = 3 5 3 5 4 20 22 =
Simplify. 3 5 1 3 = 88
or 29 1
Multiply numerators.
Multiply denominators.

15. Check It Out: Example 2A
Multiply. Write the answer in simplest form. 3 1 2 5 3 3 1 3 7
Write the mixed number as an
improper fraction. 2 = 3 5 3 5 1 3 7 =
Simplify. 5 3 1 7 2
Multiply numerators.
Multiply denominators.
= or 1 5 5

16. Multiply. Write the answer in simplest form.
Check It Out: Example 2B
Multiply. Write the answer in simplest form. 3 1 3 1 6 3 3 1 21 4 3 1 =
Write the mixed numbers as improper fractions. 6 3 6 3 7 2 21 4 =
Simplify. 6 3 3 1 = 14 3
or 4 2
Multiply numerators.
Multiply denominators.

17. Multiply. Write the answer in simplest form.
Check It Out: Example 2C
Multiply. Write the answer in simplest form. 1 1 3 1 6 3 1 1 19 4
Write the mixed numbers as improper fractions. 3 1 = 6 3 6 3 2 19 4 =
Simplify. 6 3 3 9 = 38
or 4 2
Multiply numerators.
Multiply denominators.

18. Additional Example 3: Transportation Application
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.

19. In 2002, the fee to park in a parking garage was
Check It Out: Example 3
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.

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

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

22. 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

23. 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

24. 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

25. 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

26. 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

27. 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