1. 3-10 Multiplying Fractions and Mixed Numbers Warm Up
Course 2
Warm Up
Problem of the Day
Lesson Presentation

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. Learn to multiply fractions and mixed numbers.

4. bridge was of the toll in 2005.
The San Francisco-Oakland Bay Bridge, which opened in 1936,is a toll bridge used
by drivers traveling between the two cities. In 1939 , the toll for a car crossing the
bridge was of the toll in 2005. 2 15
To find the toll in 1939, you would need to multiply the toll in 2005 by a fraction. See Example 1 in your textbook.

5. toll. What was the toll in 1995?
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.

6. 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.

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

8. 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
You can write any integer as a fraction with a denominator of 1.
Remember!

9. 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

10. 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.

11. 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

12. 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

13. 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.

14. 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

15. 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

16. 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.

17. 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

18. 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.

19. 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.

20. Multiply. Write each answer in simplest terms.
Homework
Multiply. Write each answer in simplest terms. 1 5 1. 8 6 5 1 2 2. 5 6 1 2 3. 5 1 10 3 3 2 4. 4 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?