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

2. ANSWERS Warm Up What is of each of the following? 1. 24 2. 16
ANSWERS 1 2 12 8 15 14

3. What are we doing today? Multiply. Write each answer in simplest form.1 5 1. 5 1 2 2. 5 8 6 6 1 2 3. 5 1 3 4 2 4. 10 3 16 3 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?

4. Practice multiplying fractions and mixed numbers.
I will…
Practice multiplying fractions and mixed numbers.

5. The product of two positive proper fractions is less than either fraction.
Helpful Hint

6. Example 1: Multiplying Fractions
Multiply. Write the answer in simplest form.
–12 · 3 4 8 3 1 4 1 3 5 – 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

7. Example 1: Multiplying Fractions
Continued… 8 3 1 1 3 8 1 1 3 8 =
Simplify. 1 1
Multiply numerators.
Multiply denominators. = 8

8. Example 1: Multiplying Fractions
Continued Some MORE… 4 1 3 5 – 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. I try! Practice 1a. -16 x ¼ 1b. 1/6 x 6/9 1c. (-3/7) x 1/8
Multiply. Write the answer in simplest form.
1a x ¼
1b. 1/6 x 6/9
1c. (-3/7) x 1/8

10. Example 2: Multiplying Mixed Numbers
Multiply. Write the answer in simplest form. 2 5 1 3 4 1 5 2 7 2 3 4 5 6 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

11. Example 2: Multiplying Mixed Numbers
Continued… 4 1 5 2 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

12. Example 2: Multiplying Mixed Numbers
Continued Some MORE… 2 3 4 5 6 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.

13. I try! Practice 2a. 3/5 x 2 1/3 2b. 3 3/6 x 1 1/3 2c. 3 1/6 x 1 1/3
Multiply. Write the answer in simplest form.
2a. 3/5 x 2 1/3
2b. 3 3/6 x 1 1/3
2c. 3 1/6 x 1 1/3

14. 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.

15. I try! Practice 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.

16. 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.

17. Lesson
Quiz

18. Multiply. Write each answer in simplest form.
Lesson Quiz
Multiply. Write each answer in simplest form. 1 5 1. 5 1 2 2. 5 8 6 6 1 2 3. 5 1 3 4 2 4. 10 3 16 3 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?

19. Lesson Quiz ANSWERS: 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 4 2 7 8 4. 16 3

20. Lesson Quiz ANSWERS: Part 2
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

21. Practice 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

22. Practice 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

23. Multiply. Write the answer in simplest form.
Practice 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.

24. Practice 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

25. Multiply. Write the answer in simplest form.
Practice 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.

26. Multiply. Write the answer in simplest form.
Practice 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.