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Lesson 3.9 Dividing Fractions and Mixed Numbers Goal: Divide Fractions and Mixed Numbers Vocabulary: Reciprocal: Two nonzero numbers whose product is 1 are reciprocals Example: 3 9 is the reciprocal of . 9 3 Using Reciprocals to Divide: Words: To divide by any nonzero number, multiply by its reciprocal Numbers: 3 2 3 3 ÷ = x 4 3 4 2 Can you simplify = 9 8 9 ? 8 Example 1: Dividing a Fraction by a Fraction 3 9 ÷ = Multiply by the reciprocal (S.I.R= Same Inverse Reciprocal) 5 10 3 x 5 = (remember to simplify your answer if possible) Example 2: Dividing a Fraction by a Whole Number The steps are the same! Multiply by the reciprocal 3 ÷6 8 (Make the whole number a fraction by putting a 1 under it then find the reciprocal) Guided Practice: Find the quotient. Simplify, if possible. 1. 5 1 ÷ 12 10 2. 8 4 ÷ 3 9 3. 3 ÷9 4 4. 2 ÷8 5 Independent Practice Write the reciprocal of the number. 1. 1 5 2. 2 3. 1 4 5 4. 3 6 11 Find the quotient. Then check your answer. 5. 2 1 ÷ 9 3 6. 3 5 ÷ 4 8 7. 4 9 ÷ 9 20 8. 2 5 ÷ 3 18