3. 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 Course 1
5. 5-8 Multiplying Mixed Numbers Remember! 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 __ 1•5+1 6 1 5 = _________ = __ 5 5 Course 1
6. 5-8 Multiplying Mixed Numbers Additional Example 1A: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 1 __ 1 • 1 __ 4 3 1 __ 4 __ 1 __ 1 __ 4 __ • Write 1 as an improper fraction. 1 = 4 3 3 3 3 1•4 _____ Multiply numerators. Multiply denominators. 4•3 4 __ 12 1 __ Write the answer in simplest form. 3 Course 1
7. 5-8 Multiplying Mixed Numbers Additional Example 1B: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 1 4 3 __ • __ 2 5 7 4 1 1 7 __ • __ Write 3 __ as an improper fraction. 3 __ = __ 2 5 2 2 2 7•4 _____ Multiply numerators. Multiply denominators. 2•5 28 __ 10 14 __ 4 Write the answer in simplest form. You __ =2 5 5 can write the answer as a mixed number. Course 1
8. 5-8 Multiplying Mixed Numbers Additional Example 1C: Multiplying Fractions and Mixed Numbers Multiply. Write each answer in simplest form. 12 __ • 2 __ 3 13 8 12 __ • 19 3 3 19 __ Write 2 __ as an improper fraction. 2 __= __ 13 8 8 8 8 3 12 __ • 19 __ Use the GCF to simplify before multiplying. 13 8 2 3 • 19 ______ 13 • 2 57 __ 5 __ =2 You can write the answer as a mixed number. 26 26 Course 1
9. 5-8 Multiplying Mixed Numbers Check It Out: Example 1A Multiply. Write each answer in simplest form. 1 __ 1 __ 9 • 1 2 1 3 1 1 3 __ • __ Write 1 __ as an improper fraction. 1 __ = __ 9 2 2 2 2 1•3 _____ Multiply numerators. Multiply denominators. 9•2 3 __ 18 1 __ Write the answer in simplest form. 6 Course 1
10. 5-8 Multiplying Mixed Numbers Check It Out: Example 1B Multiply. Write each answer in simplest form. 2 __ 5 __ 2 3 • 6 8 5 2 2 8 __ • __ Write 2 __ as an improper fraction. 2 __ = __ 3 6 3 3 3 8•5 _____ Multiply numerators. Multiply denominators. 3•6 40 __ 18 20 2 __ = 2 __ Write the answer in simplest form. You 9 9 can write the answer as a mixed number. Course 1
11. 5-8 Multiplying Mixed Numbers Check It Out: Example 1C Multiply. Write each answer in simplest form. 14 2 __ • 3 __ 15 7 14 __ • 23 2 __ 2 __ 23 __ Write 3 as an improper fraction. 3 = __ 15 7 7 7 7 2 14 __ • 23 __ Use the GCF to simplify before multiplying. 15 71 2 • 23 ______ 15 • 1 46 __ 1 __ You can write the answer as a mixed =3 15 15 number. Course 1
12. 5-8 Multiplying Mixed Numbers Additional Example 2A: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 2 __ 1 __ 1 3 •2 7 5 __ 15 __ Write the mixed numbers as improper • 1 15 3 7 2 5 __ fractions. 1 __ = __ 2 = __ 5 • 15 3 3 7 7 ______ Multiply numerators. Multiply denominators. 3 • 7 75 __ 21 12 __ You can write the improper fraction as a 3 21 mixed number. 4 3 __ Simplify. 7 Course 1
13. 5-8 Multiplying Mixed Numbers Additional Example 2B: Multiplying Mixed Numbers Find each product. Write the answer in simplest form. 3 2 1 __ • 2 __ 8 5 Write the mixed numbers as improper 11 __ • 12 __ 3 11 2 __ 12 8 5 __ fractions. 1 = __ 2 = __ 3 8 8 5 5 11 __ 12 __ • Use the GCF to simply before multiplying. 8 5 2 11 • 3 ______ Multiply numerators. Multiply denominators. 2•5 33 __ 10 3 3 __ Simplify. 10 Course 1
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