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5-8

5-8. Multiplying Mixed Numbers. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 3. 3. 3. 4. 1. 1. 1. __. __. __. __. __. __. __. •. •. 8. 10. 11. 5. 3. 2. 6. 15. 3. 5. 6. __. __. __. __. 64. 8. 8. 11. Warm Up Multiply. 1. 2. 3. 4. • 2. •.

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5-8

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  1. 5-8 Multiplying Mixed Numbers Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 3 3 3 4 1 1 1 __ __ __ __ __ __ __ • • 8 10 11 5 3 2 6 15 3 5 6 __ __ __ __ 64 8 8 11 Warm Up Multiply. 1.2. 3.4. • 2 •

  3. 7 __ 8 Problem of the Day Tracy and Zachary are sharing a large pizza. Tracy cuts the pizza in half. Zachary says he cannot eat that much. Zachary cuts his half into fourths and eats one piece. What fraction of the whole pizza does Zachary not eat?

  4. Learn to multiply mixed numbers.

  5. 1 __ 5 6 __ 5 1 • 5 + 1 _________ Remember! 5 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. = = 1

  6. 1 __ Write 1 as an improper fraction. 1 = • 1 4 1 4 1 • 4 1 1 4 1 __ __ __ __ __ __ __ __ _____ 3 3 4 3 4 • 3 3 3 4 12 3 Additional Example 1A: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. • 1 Multiply numerators. Multiply denominators. Write the answer in simplest form.

  7. 1 1 7 __ __ __ Write 3 as an improper fraction. 3 = • 14 1 28 4 4 4 7 • 4 7 2 2 2 __ __ __ __ _____ __ __ __ 5 2 • 5 5 10 2 5 5 2 Additional Example 1B: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 3• Multiply numerators. Multiply denominators. Write the answer in simplest form. You can write the answer as a mixed number. = 2

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

  9. Write 1 as an improper fraction. 1 = • 1 3 1 1 1 1 • 3 3 3 1 1 __ __ __ __ __ __ __ __ _____ __ 2 2 6 9 9 • 2 2 2 9 18 2 Check It Out: Example 1A Multiply. Write each answer in simplest form. •1 Multiply numerators. Multiply denominators. Write the answer in simplest form.

  10. Write 2 as an improper fraction. 2 = • 20 2 40 5 8 2 2 5 2 8 8 • 5 __ __ __ __ __ __ __ __ __ __ _____ 6 3 9 9 3 18 3 • 6 3 3 6 3 Check It Out: Example 1B Multiply. Write each answer in simplest form. 2• Multiply numerators. Multiply denominators. Write the answer in simplest form. You can write the answer as a mixed number. = 2

  11. Write 3 as an improper fraction. 3 = • • 2 23 14 23 46 2 2 14 23 2 • 23 1 14 __ __ __ __ __ __ __ __ __ ______ __ __ 15 15 7 7 7 7 15 • 1 7 15 7 15 15 Check It Out: Example 1C Multiply. Write each answer in simplest form. • 3 2 Use the GCF to simplify before multiplying. 1 You can write the answer as a mixed number. = 3

  12. Write the mixed numbers as improper fractions. 1 = 2 = • 2 5 1 4 5 • 15 15 75 5 15 2 12 1 ______ __ __ __ __ __ __ __ __ __ __ __ 7 3 7 3 • 7 7 21 3 3 7 7 3 21 Additional Example 2A: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 1 • 2 Multiply numerators. Multiply denominators. You can write the improper fraction as a mixed number. 3 Simplify. 3

  13. Write the mixed numbers as improper fractions. 1 = 2 = • • 3 11 12 2 11 33 11 • 3 12 3 2 3 11 12 ______ __ __ __ __ __ __ __ __ __ __ __ __ 10 8 8 2 • 5 8 5 5 5 5 8 5 10 8 Additional Example 2B: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 1 • 2 3 Use the GCF to simply before multiplying. 2 Multiply numerators. Multiply denominators. Simplify. 3

  14. 2 2 2 2 4 2 2 4 __ __ __ __ __ __ __ __ 1 5 5 5 5 5 5 5 8 Additional Example 2C: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 2 • 4 2 • 4 2 • (4 + ) (2 • 4) + ( 2 • ) Use the Distributive Property. (2 • 4) + ( • ) 8 + Multiply. Add.

  15. Write the mixed numbers as improper fractions. 1 = 2 = • 7 3 13 1 7 1 13 19 7 • 13 91 3 __ __ __ __ __ ______ __ __ __ __ __ 4 4 4 • 6 6 6 4 6 4 24 6 24 Check It Out: Example 2A Find each product. Write the answer in simplest form. 1 • 2 Multiply numerators. Multiply denominators. You can write the improper fraction as a mixed number. 3

  16. Write the mixed numbers as improper fractions. 1 = . 3 = • • 2 11 18 3 11 22 11 • 2 18 2 3 2 11 18 ______ __ __ __ __ __ __ __ __ __ __ __ __ 5 9 9 1 • 5 9 5 5 5 5 9 5 5 9 Check It Out: Example 2B Find each product. Write the answer in simplest form. 1 • 3 2 Use the GCF to simply before multiplying. 1 Multiply numerators. Multiply denominators. Simplify. 4

  17. 1 3 1 1 3 1 1 3 __ __ __ __ __ __ __ __ 1 5 5 5 5 5 5 5 18 Check It Out: Example 2C Find each product. Write the answer in simplest form. 3 • 6 3 • 6 3 • (6 + ) (3 • 6) + ( 3 • ) Use the Distributive Property. (3 • 6) + ( • ) 18 + Multiply. Add.

  18. 1 7 1 5 3 7 1 3 1 5 __ __ __ __ __ __ __ __ __ __ __ __ 1 4 2 5 40 5 7 10 5 14 8 4 20 2 grain Lesson Quiz Multiply. Write each answer in simplest form. 1. 3 2. 1 Find each product. Write the answer in simplest form. 3. 2•1 4. 5 • 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? 2 • • 16 1 1

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