Name 7-9 Date Dividing Fractions and Mixed Numbers (pages 305–307) To divide by a fraction, multiply by its multiplicative inverse or reciprocal. Dividing by a Fraction a c a d You can rewrite as , where b, c, and d 0. b d b c EXAMPLES 2 3 A Find . 7 5 2 7 3 5 2 7 10 21 5 3 1 5 3 is the multiplicative inverse of 3 . 5 Multiply. 4 B Find 3 5 . 2 9 1 4 7 2 49 9 17 2 9 49 3 5 2 9 Rewrite the improper fractions as mixed numbers. The GCF of 7 and 49 is 7. 7 9 14 Multiply. Try These Together 3 2 1. Find 3. 8 2 2. Find 5 3 . HINT: Rewrite 3 as 1 . 3 HINT: Rewrite 2 3 as 3 . 2 PRACTICE Divide. Write each quotient in simplest form. 5 4 3. 7 7 8 3 4. 4 11 4 2 5. 5 2 3 4 4 6. 4 7 5 Solve each equation. 4 7. r 2 7 C 11. Standardized Test Practice Taina has 3 9 yards of material that she wants to split into 4 pieces of equal length for a project. How long will each piece be? 2 1 3 D 4 yd C 3 yd 36 6. 5 7 5 7. 7 2 8. 117 32 63 3 9. 1 4 1 10. 3 2 11. A © Glencoe/McGraw-Hill 5. 10 B 1 7 yd 32 7 A 9 yd 4. 33 C B A 1 8. 3. 1 4 A 7. 3 B B 6. 1 C A 5. 2. 5 4. 1 1 10. w 3 2 5 2 9. t 6 3 1 Answers: 1. 8 B 3. 8 1 8. 9 3 s 4 Parent and Student Study Guide Mathematics: Applications and Connections, Course 2

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