1. Course 1 5-9 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

2. Course 1 5-9 Dividing Fractions and Mixed Numbers Vocabulary reciprocal

3. Course 1 5-9 Dividing Fractions and Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.

4. Course 1 5-9 Dividing Fractions and Mixed Numbers Check It Out: Example 1A Find the reciprocal. 1 4 __ 1 4 = 1 Think: of what number is 1? 1 4 __ 1 4 4 = 1 of is 1. 1 4 __ 4 1 The reciprocal of is 4. 1 4 __

5. Course 1 5-9 Dividing Fractions and Mixed Numbers Additional Example 1A: Finding Reciprocals Find the reciprocal. 1 9 __ 1 9 = 1 Think: of what number is 1? 1 9 __ 1 9 1 9 9 = 1 of is 1. 1 9 __ 9 1 The reciprocal of is 9. 1 9 __

6. Course 1 5-9 Dividing Fractions and Mixed Numbers Additional Example 1B: Finding Reciprocals Find the reciprocal. 2 3 __ 2 3 = 1 Think: of what number is 1? 2 3 __ 3 2 2 3 = = 1 6 6 __ of is 1. 2 3 __ 3 2 The reciprocal of is. 2 3 __ 3 2

7. Course 1 5-9 Dividing Fractions and Mixed Numbers Check It Out: Example 1B Find the reciprocal. 4 5 __ 4 5 = 1 Think: of what number is 1? 4 5 __ 5 4 4 5 = = 1 20 __ of is 1. 4 5 __ 5 4 The reciprocal of is. 4 5 __ 5 4

8. Course 1 5-9 Dividing Fractions and Mixed Numbers Look at the relationship between the fractions and. If you switch the numerator and denominator of a fraction, you will find its reciprocal. Dividing by a number is the same as multiplying by its reciprocal. 3 4 __ 4 3 24 ÷ 4 = 624 = 6 1 4 __

9. Course 1 5-9 Dividing Fractions and Mixed Numbers S.O.A.R. K eep the first fraction the s ame! (However, IF you have a whole or a mixed number, change it to an improper fraction.) Use the o pposite of the ÷ sign, which is a x sign! A nd use the r eciprocal of the second fraction.

10. Course 1 5-9 Dividing Fractions and Mixed Numbers Additional Example 2A: Using Reciprocals to Divide Fractions and Mixed Numbers Divide. Write each answer in simplest form. ÷ 7 8 7 __ 8 7 ÷ 7 = Rewrite as multiplication using the reciprocal of 7,. 1 7 __ Multiply by the reciprocal. 8 7 __ 1 7 8 1 7 ____ = The answer is in simplest form. = 8 49 __

11. Course 1 5-9 Dividing Fractions and Mixed Numbers Additional Example 2B: Using Reciprocals to Divide Fractions and Mixed Numbers ÷ 5 6 __ 5 6 ÷ = Rewrite as multiplication using the reciprocal of,. 3 2 __ Simplify before multiplying. 5 6 __ 3 2 5 3 6 2 ____ = You can write the answer as a mixed number. = 5 4 __ 2 3 2 3 2 3 1 2 Multiply. = 1 1 4 __

12. Course 1 5-9 Dividing Fractions and Mixed Numbers Check It Out: Example 2A Divide. Write each answer in simplest form. ÷ 3 2 3 __ 2 3 ÷ 3 = Rewrite as multiplication using the reciprocal of 3,. 1 3 __ Multiply by the reciprocal. 2 3 __ 1 3 2 1 3 ____ = The answer is in simplest form. = 2 9 __

13. Course 1 5-9 Dividing Fractions and Mixed Numbers Check It Out: Example 2B ÷ 7 10 __ 7 10 __ ÷ = Rewrite as multiplication using the reciprocal of,. 5 1 __ Simplify before multiplying. 7 10 __ 5 1 7 5 10 1 ____ = You can write the answer as a mixed number. = 7 2 __ 1 5 1 5 1 5 1 2 Multiply. = 3 1 2 __

14. Course 1 5-9 Dividing Fractions and Mixed Numbers Check It Out: Example 2C 3 ÷ 1 2 3 __ Write the mixed numbers as improper fractions. 3 = and 1 =. 10 9 __ Rewrite as multiplication. 11 9 3 10 ______ = You can write the answer as a mixed number. = 33 10 __ 1 9 2 3 1 3 Simplify before multiplying. = 3 3 10 __ 3 ÷ 1 = ÷ 2 3 __ 1 9 11 3 __ 10 9 __ 11 3 __ 1 9 11 3 __ 9 10 __ Multiply. =

15. Course 1 5-9 Dividing Fractions and Mixed Numbers Lesson Quiz Find the reciprocal. 1. 2. Divide. Write each answer in simplest form. 3. ÷ 204. 3 ÷ 2 5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? 1 11 __ 8 13 __ 4 7 1 2 1 2 3 4 1 4 11 1 __ 13 8 __ 1 35 __ 7 5 2 5, or 1 11 bags