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

2. 5-5 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 __ = =

3. 5-5 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.

4. 5-5 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

5. 5-5 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 __

6. 5-5 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.

7. 5-5 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

8. 5-5 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 __

9. 5-5 Multiplying Mixed Numbers You can estimate the product to see whether your answer is reasonable. Remember!

10. 5-5 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

11. 5-5 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

12. 5-5 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

13. 5-5 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