1. Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers. Entry Task: Warm Up 1. What is 2. What is 3. What is 12 8 15 1 2 of 24? 1 2 of 16? 1 2 of 30? 4. What is 1 4 of 28? 7

2. Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers. Correct Homework: Pink Worksheet (Add and Subtract Decimals)

3. In 2001, the car toll on the George Washington Bridge was $6.00. In 1995 the toll was Additional Example 1: Transportation Application 2 3 of the toll in 2001. What was the toll in 1995? 2 3 6 · = 2 3 + 2 3 2 3 2 3 2 3 2 3 +++ + + = 12 3 = 4 1 Simplify. = $4.00 Write the fraction as a decimal. The George Washington Bridge toll for a car was $4.00 in 1995. +++ + 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 11 1 1 Course 2 4-7 Multiplying Fractions and Mixed Numbers

4. 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? Try This: Example 1 3 4 4 · = 3 4 + 3 4 3 4 3 4 ++ = 12 4 = 3 1 Simplify. = $3.00 Write the fraction as a decimal. The fee to park in the parking garage was $3.00 in 2000. 3 4 + 1 4 1 4 1 4 1 4 1 4 1 4 + + 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4 111 Course 2 4-7 Multiplying Fractions and Mixed Numbers

5. Multiply. Write the answer in simplest form. Additional Example 2C: Multiplying Fractions C. · 5 The signs are different, so the answer will be negative. Multiply numerators. Multiply denominators. 4 2 3 – 4 5 · 2 3 – = 2 3 · 4 5 · – = 8 15 – Course 2 4-7 Multiplying Fractions and Mixed Numbers

6. Multiply. Write the answer in simplest form. B. · 8 = Simplify. Multiply numerators. Multiply denominators. 3 1 3 1 1 = 1 8 3 8 · 1 3 1 3 · 3 8 · Course 2 4-7 Multiplying Fractions and Mixed Numbers

7. Multiply. Write the answer in simplest form. Additional Example 2A: Multiplying Fractions A. –12 · 3 4 –12 · 3 4 = – 12 1 · 3 4 Write –12 as a fraction. = – 12 · 3 1 · 4 3 1 Simplify. 9 1 = – = –9 Multiply numerators. Multiply denominators. You can write any integer as a fraction with a denominator of 1. Remember! Course 2 4-7 Multiplying Fractions and Mixed Numbers

8. Multiply. Write the answer in simplest form. Try This: Example 2A A. –16 · 1 4 –16 · 1 4 = – 16 1 · 1 4 Write –16 as a fraction. = – 16 · 1 1 · 4 4 1 Simplify. 4 1 = – = –4 Multiply numerators. Multiply denominators. Course 2 4-7 Multiplying Fractions and Mixed Numbers

9. Multiply. Write the answer in simplest form. Additional Example 3A: Multiplying Mixed Numbers Write the mixed number as an improper fraction. Simplify. Multiply numerators. Multiply denominators. A. 2 2 5 · 1 2 3 = 2 5 · 5 3 = 2 5 · 5 3 1 1 5 · 1 2 3 = 2 3 Course 2 4-7 Multiplying Fractions and Mixed Numbers

10. Multiply. Write the answer in simplest form. Additional Example 3B: Multiplying Mixed Numbers Write the mixed numbers as improper fractions. Simplify. B. 4 1 5 · 2 1 7 4 1 5 · 1 7 = 21 5 · 15 7 = 5 · 7 21 1 3 1 3 = 9 1 or 9 Multiply numerators. Multiply denominators. 2 Course 2 4-7 Multiplying Fractions and Mixed Numbers

11. Multiply. Write the answer in simplest form. Try This: Example 3B Write the mixed numbers as improper fractions. Simplify. B. 3 3 6 · 1 1 3 3 3 6 · 1 3 = 21 6 · 4 3 = 6 · 3 4 1 7 3 2 Multiply numerators. Multiply denominators. 1 = 14 3 or 4 2 3 Course 2 4-7 Multiplying Fractions and Mixed Numbers

12. Multiply. Write the answer in simplest terms. 5.A recipe for clam chowder calls for 2 1 4 pounds of butter. If you prepare one-half of the recipe, how much butter do you need? 1 1818 pounds Course 2 4-7 Multiplying Fractions and Mixed Numbers

13. Today’s Plan: -Warm up and Correct Homework -Multiply Fractions 12/1/10 Multiply Fractions Learning Target: -I can multiply fractions and mixed numbers. Page 224 #10-25