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

Multiply rational numbers. dimensional analysis Main Idea/Vocabulary

Key Concept

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

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

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

Multiply Fractions and Mixed Numbers Simplify. Answer: Example 2

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

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

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

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

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

CANOEING While canoeing, Jeannette and Angelo average about miles per hour. How far will they travel in hours? A. 1 miles B. 2 miles C. 4 miles D. 4 miles __ 1 4 3 ___ 12 Example 4 CYP