2. Main Idea and New Vocabulary Key Concept: Multiply Fractions
Example 1: Multiply Fractions and Mixed Numbers
Example 2: Multiply Fractions and Mixed Numbers
Example 3: Independent Events
Example 4: Real-World Example
Lesson Menu

3. Multiply rational numbers.
dimensional analysis
Main Idea/Vocabulary

4. Key Concept

5. Multiply Fractions and Mixed Numbers
Find – ● Write in simplest form. __ 3 4 7 12
Divide –3 and 12 by their GCF, 3.
Multiply. Then simplify. The fractions have different signs, so the product is negative.
Answer:
Example 1

6. Find Write in simplest form.
A. 
B. 
C.  D.
Example 1 CYP

7. Multiply Fractions and Mixed Numbers
Find Write in simplest form.
Rename as and as
Divide out common factors.
Multiply.
Example 2

8. Multiply Fractions and Mixed Numbers
Simplify.
Answer:
Example 2

9. Find Write in simplest form.
A. –10
B. –10
C. –8
D. –2 __ 1 6 2
___ 15
Example 2 CYP

10. P(spinning a number divisible by 3) = 2 8 1 2 P(tossing heads) =
Independent Events
The spinner is spun and a coin is tossed. What is the probability of spinning a number divisible by 3 and tossing heads?
P(spinning a number divisible by 3) = __ 2 8 __ 1 2
P(tossing heads) = __ 1 8
P(divisible by 3 and heads) = ● or 2
Answer: The probability of spinning a number divisible by 3 and tossing heads is . __ 1 8
Example 3

11. A number cube is rolled and the spinner is spun
A number cube is rolled and the spinner is spun. What is the probability of rolling an even number and spinning a number divisible by 4? A. B. C. D. __ 1 4 2 8
___ 16
Example 3 CYP

12. AIRCRAFT A Cessna 150 airplane cruises at a speed of 150 miles per hour. How far will it travel in hours?
Example 4

13. Divide by common factors and units.
Write the equation.
Divide by common factors and units.
d = 325 miles
Answer: A Cessna 150 airplane will travel 325 miles in hours.
Example 4

14. CANOEING While canoeing, Jeannette and Angelo average about miles per hour. How far will they travel in hours?
A miles
B miles
C. 4 miles
D miles __ 1 4 3
___ 12
Example 4 CYP