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

2. Course 1 5-8 Multiplying Mixed Numbers Warm Up Multiply. 1.2. 3. 4. 3 8 __ 5 8 2 4 5 __ 3 8 3 11 __ 1 2 1 3 1 6 __ 3 10 __ 6 11 __ 15 64 __

3. Course 1 5-8 Multiplying Mixed Numbers 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? 7 8 __

4. Course 1 5-8 Multiplying Mixed Numbers Learn to multiply mixed numbers.

5. Course 1 5-8 Multiplying Mixed Numbers 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. Remember! 1 5 __ 1 1 5 + 1 5 _________ 6 5 __ = =

6. Course 1 5-8 Multiplying Mixed Numbers Additional Example 1A: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 1 1 4 __ 1 3 Write 1 as an improper fraction. 1 = 4 3 __ 1 3 1 3 1 4 4 3 1 4 4 3 _____ Multiply numerators. Multiply denominators. 4 12 __ 1 3 Write the answer in simplest form.

7. Course 1 5-8 Multiplying Mixed Numbers Additional Example 1B: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 3 1 2 __ 4 5 Write 3 as an improper fraction. 3 = 7 2 __ 1 2 1 2 7 2 4 5 7 4 2 5 _____ Multiply numerators. Multiply denominators. 28 10 __ 14 5 __ Write the answer in simplest form. You can write the answer as a mixed number. 4 5 __ = 2

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

9. Course 1 5-8 Multiplying Mixed Numbers Check It Out: Example 1A Multiply. Write each answer in simplest form. 1 1 9 __ 1 2 Write 1 as an improper fraction. 1 = 3 2 __ 1 2 1 2 1 9 3 2 1 3 9 2 _____ Multiply numerators. Multiply denominators. 3 18 __ 1 6 Write the answer in simplest form.

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

11. Course 1 5-8 Multiplying Mixed Numbers Check It Out: Example 1C Multiply. Write each answer in simplest form. 3 14 15 __ 2 7 Write 3 as an improper fraction. 3 = 23 7 __ 2 7 2 7 14 15 __ 23 7 __ 2 23 15 1 ______ Use the GCF to simplify before multiplying. 46 15 __ You can write the answer as a mixed number. 1 15 __ = 3 2 1 14 15 __ 23 7 __

12. Course 1 5-8 Multiplying Mixed Numbers Additional Example 2A: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 1 2 2 3 __ 1 7 5 3 15 7 __ 5 15 3 7 ______ Multiply numerators. Multiply denominators. 75 21 __ 12 21 __ You can write the improper fraction as a mixed number. Write the mixed numbers as improper fractions. 1 = 2 = 5 3 __ 15 7 __ 2 3 1 7 3 Simplify. 4 7 __ 3

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

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

15. Course 1 5-8 Multiplying Mixed Numbers Check It Out: Example 2A Find each product. Write the answer in simplest form. 1 2 3 4 __ 1 6 7 4 13 6 __ 7 13 4 6 ______ Multiply numerators. Multiply denominators. 91 24 __ 19 24 __ You can write the improper fraction as a mixed number. Write the mixed numbers as improper fractions. 1 = 2 = 7 4 __ 13 6 __ 3 4 1 6 3

16. Course 1 5-8 Multiplying Mixed Numbers Check It Out: Example 2B Find each product. Write the answer in simplest form. 1 3 2 9 __ 3 5 11 9 __ 18 5 __ 11 2 1 5 ______ Use the GCF to simply before multiplying. 22 5 __ Multiply numerators. Multiply denominators. Write the mixed numbers as improper fractions. 1 =. 3 = 11 9 __ 18 5 __ 2 9 3 5 Simplify. 2 5 __ 4 11 9 __ 18 5 __ 2 1

17. Course 1 5-8 Multiplying Mixed Numbers Check It Out: Example 2C Find each product. Write the answer in simplest form. 3 6 1 5 __ Use the Distributive Property. Add. 3 5 __ 18 + 3 6 1 5 __ 3 (6 + ) 1 5 __ (3 6) + ( 3 ) 3 1 __ Multiply. (3 6) + ( ) 1 5 __ 1 5 3 5 18

18. Course 1 5-8 Multiplying Mixed Numbers Lesson Quiz Multiply. Write each answer in simplest form. 1. 32. 1 Find each product. Write the answer in simplest form. 3. 2 14. 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 5 8 __ 1 5 5 7 __ 7 10 __ 1 4 __ 1 5 1 5 16 1 2 __ 1 20 __ 1 3 14 __ 2 3 4 grain 7 40 __