1. Math Homework
Page 230 #1-17 ODD ONLY!

2. NEW! Student Progress Learning Chart
Lesson Reflection for
Chapter 5
Sections 1 & 2

3. Math Learning Goal Students will understand fraction operations.

4. Students will understand fraction operations by completing the following assignments:
Learn to multiply fractions (5-1)
Learn to multiply mixed numbers (5-2)

5. Learning Goal Assignment
Course 1
5-1
Multiplying Fractions
Learning Goal Assignment
Learn to multiply fractions.

6. Multiplying Fractions
Course 1
5-1
Multiplying Fractions 1 3 __
On average, people spend of their lives asleep. About
of the time they sleep, they dream. What fraction of
a lifetime does a person typically spend dreaming? 1 4 __ 1 4 __ 1 3 __
One way to find of is to make a model.
Find of . 1 4 __ 1 3 __ 1 4 __ 1 3 __ 1 12 __ • =

7. Multiplying Fractions
Course 1
5-1
Multiplying Fractions
You can also multiply fractions without making a model. 1 4 __ 1 3 __
_____
1 • 1
Multiply the numerators. • =
4 • 3
Multiply the denominators. 1 12 __ = 1 12 __
A person typically spends of his or her lifetime dreaming.

8. Multiplying Fractions
Course 1
5-1
Multiplying Fractions
You can look for a common factor in a numerator and a denominator to determine whether you can simplify before multiplying.
Helpful Hint

9. Multiply. Write the answer in simplest form.
Course 1
5-1
Multiplying Fractions
Additional Example 1A: Multiplying Fractions
Multiply. Write the answer in simplest form. A. 1 4 __ 2 5 __ • 1 4 __ 2 5 __
_____
1 • 2 • =
Multiply numerators. Multiply denominators.
4 • 5 2 20 __ =
The GCF of 2 and 20 is 2. 1 10 __ =
The answer is in simplest form.

10. Multiply. Write the answer in simplest form.
Course 1
5-1
Multiplying Fractions
Try This: Example 1A
Multiply. Write the answer in simplest form. A. 1 2 __ 3 6 __ • 1 2 __ 3 6 __
_____
1 • 3 • =
Multiply numerators. Multiply denominators.
2 • 6 3 12 __ =
The GCF of 3 and 12 is 3. 1 4 __
The answer is in simplest form. =

11. Multiply. Write the answer in simplest form.
Course 1
5-1
Multiplying Fractions
Additional Example 1B: Multiplying Fractions
Multiply. Write the answer in simplest form. B. 5 7 __ 4 15 __ •
Use the GCF to simplify the fractions before multiplying. The greatest common factor of 5 and 15 is 5. 5 7 __ 1 4 15 __ 1 7 __ 4 3 __ • = • 3
_____
1 • 4
Multiply numerators. Multiply denominators. =
7 • 3 4 21 __ =
The answer is in simplest form.

12. Multiply. Write the answer in simplest form.
Course 1
5-1
Multiplying Fractions
Try This: Example 1B
Multiply. Write the answer in simplest form. B. 3 7 __ 5 9 __ •
Use the GCF to simplify the fractions before multiplying. The greatest common factor of 3 and 9 is 3. 3 7 __ 1 5 9 __ 1 7 __ 5 3 __ • = • 3
_____
1 • 5
Multiply numerators. Multiply denominators. =
7 • 3 5 21 __ =
The answer is in simplest form.

13. Multiplying Fractions Insert Lesson Title Here
Course 1
5-1
Multiplying Fractions
Insert Lesson Title Here
Lesson Quiz
Multiply. Write each answer in simplest form.
Evaluate the expression x • for each value of x. Write the answer in simplest form.
3. x = x =
5. At a particular college of the students take a math class. Of these students take basic algebra. What fraction of all students take basic algebra? 1 4 __ 3 5 __ 3 20 __ 3 10 __ 5 7 __ 3 14 __ • • 1 8 __ 4 5 __ 1 10 __ 1 8 __ 1 64 __ 2 5 __ 1 4 __ 1 10 __

15. Learning Goal Assignment
Course 1
5-2
Multiplying Mixed Numbers
Learning Goal Assignment
Learn to multiply mixed numbers.

16. Multiplying Mixed Numbers
Course 1
5-2
Multiplying Mixed Numbers
To write a mixed number as an improper fraction, start with the whole number, multiply by the denominator, and add the numerator. Use the same denominator.
Remember! 1 5 __
1 • 5 + 1 5
_________ 6 5 __ 1 = =

17. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1A: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 1 4 __ 1 3 __
A. • 1 1 4 __ 3 •
Write as an improper fraction = 4 3 __ 1
1 • 4
4 • 3
_____
Multiply numerators. Multiply denominators. 4 12 __ 1 3 __
Write the answer in simplest form.

18. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1A
Multiply. Write each answer in simplest form. 1 9 __ 1 2 __
A. • 1 1 9 __ 3 2 •
Write 1 as an improper fraction = 3 2 __ 1
1 • 3
9 • 2
_____
Multiply numerators. Multiply denominators. 3 18 __ 1 6 __
Write the answer in simplest form.

19. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1B: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 1 2 __ 4 5 __
B • 7 2 __ 4 5 •
Write as an improper fraction = 7 2 __ 1
7 • 4
2 • 5
_____
Multiply numerators. Multiply denominators. 28 10 __ 14 5 __ 4 5 __
Write the answer in simplest form. You can write the answer as a mixed number.
= 2

20. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1B
Multiply. Write each answer in simplest form. 2 3 __ 5 6 __
B • 8 3 __ 5 6 •
Write 2 as an improper fraction = 8 3 __ 2
8 • 5
3 • 6
_____
Multiply numerators. Multiply denominators. 40 18 __ 20 9 __ 2 9 __
Write the answer in simplest form. You can write the answer as a mixed number.
= 2

21. Multiply. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Additional Example 1C: Multiplying Fractions and Mixed Numbers
Multiply. Write the answer in simplest form. 12 13 __ 3 8 __
C • 2 12 13 __ 19 8 •
Write as an improper fraction = 19 8 __ 3 3 12 13 __ 19 8 •
Use the GCF to simplify before multiplying. 2
3 • 19
13 • 2
______ 57 26 __ 5 26 __
= 2
You can write the answer as a mixed number.

22. Multiply. Write each answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 1C
Multiply. Write each answer in simplest form. 14 15 __ 2 7 __
C • 3 14 15 __ 23 7 •
Write 3 as an improper fraction = 23 7 __ 2 2 14 15 __ 23 7 •
Use the GCF to simplify before multiplying. 1
2 • 23
15 • 1
______ 46 15 __ 1 15 __
You can write the answer as a mixed number.
= 3

23. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 2B
Find each product. Write the answer in simplest form. 2 9 __ 3 5 __
B • 3
Write the mixed numbers as improper
fractions = = 11 9 __ 18 5 2 3 11 9 __ 18 5 • 2 11 9 __ 18 5 •
Use the GCF to simply before multiplying. 1
11 • 2
1 • 5
______
Multiply numerators. Multiply denominators. 22 5 __ 2 5 __ 4
Simplify.

24. Find each product. Write the answer in simplest form.
Course 1
5-2
Multiplying Mixed Numbers
Try This: Example 2C
Find each product. Write the answer in simplest form. 1 5 __
C. 3 • 6 1 5 __
3 • 6 1 5 __
3 • ( ) 1 5 __
(3 • 6) + ( 3 • )
Use the Distributive Property. 3 1 __ 1 5 __
(3 • 6) + ( • ) 3 5 __
18 +
Multiply. 3 5 __ 18
Add.

25. Multiplying Mixed Numbers Insert Lesson Title Here
Course 1
5-2
Multiplying Mixed Numbers
Insert Lesson Title Here
Lesson Quiz
Multiply. Write each answer in simplest form.
Find each product. Write the answer in simplest form.
• • 3
5. A nurse gave a patient 3 tablets of a medication. If each
tablet contained grain of the medication, how much
medication did the patient receive? 1 5 __ 5 8 __ 7 10 __ 5 7 __ 1 3 14 __ 2 • • 1 5 __ 1 4 __ 1 5 __ 2 3 4 __ 16 2 __ 1 20 __ 1
grain 7 40 __