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Multiplying Fractions and Mixed Numbers

Multiplying Fractions and Mixed Numbers. Objective: Learn to multiply fractions and mixed numbers. . To multiply fractions, multiply the numerators and the denominators. Then simplify. . Steps: First write 2 as 2 1 2. Multiply the numerators.

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Multiplying Fractions and Mixed Numbers

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  1. Multiplying Fractions and Mixed Numbers Objective: Learn to multiply fractions and mixed numbers.

  2. To multiply fractions, multiply the numerators and the denominators. Then simplify. Steps: First write 2 as 2 1 2. Multiply the numerators. Multiply the denominators. 4. Simplify 5. Convert any improper fractions to a mixed number. Example 1 Example 2 2 × 3 4 2 × 3 1 4 6 4 1 2 = 1 1 4 2 • 1 × 2 2 3 = 2 6 1 3

  3. Your Examples: 3 × 1 5 2 2 × 4 3 • 9× 1 2 1 × 8 4 9

  4. When multiplying fractions, if the numerator and the denominator of either fraction have common factors, you can simplify before multiplying. • 3 × 2 16 18 5 × 3 12 15 • 5 × 3 6 5 4 × 42 7 16

  5. When Multiplying Mixed Numbers:First convert the mixed number to an improper fraction. Then multiply normally and simplify. • 1× 8 4 4 9 • 1 7 × 2 2 8 5

  6. Homework: 1. 3 × 1 4 8 2. 4 × 6 5 3. 1 × 5 5 6 4. 1 × 3 12 5 5. 2 × 15 5 16 6. 4 2 × 4 3 7 7. 5 × 2 1 8 2 8. 14 × 1 1 7 9. 3 1 × 2 2 4 3 10. 5 1× 3 3 3 4 Extra Credit: Humans sleep about 1/3 of each day. If each year is equal to 365 ¼ days, Determine the number of days in a year the average human sleeps.

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