1. 3-7 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

2. 3-7 Dividing Fractions and Mixed Numbers To divide fractions: 1.Change mixed numbers to improper fractions 2.Keep the first fraction 3.Change division to multiplication 4.Take the reciprocal of the second fraction Examples: Reciprocal of  Reciprocal of 3  5.Multiply **Keep, Change, Flip**

3. 3-7 Dividing Fractions and Mixed Numbers The rule for dividing negative fractions is the same as integers: –Both signs same - product is positive –One positive and one negative - product is negative

4. 3-7 Dividing Fractions and Mixed Numbers Example B Divide. Write each answer in simplest form. 3737 ÷ 2525 = 3737 · 5252 = 3737 · 5 · 2 = 15 14 or 1 14 1 3838 ÷ 12 = 3838 · 1 = 3838 · 1 1 4 = 1 32

5. 3-7 Dividing Fractions and Mixed Numbers Divide. Write each answer in simplest form. 5 2323 ÷ 1 1414 = 17 3 ÷ 5454 = 17 3 · 4545 = 68 15 or 4 8 15 Example B

6. 3-7 Dividing Fractions and Mixed Numbers Lesson Quiz 10 Divide. Write each answer in simplest form. 1. 2. 8 ÷ 4545 5959 ÷ 1818 3. 3535 ÷6 5. There are 5 1414 yards of silk in a roll. If it takes 3434 of a yard to make one designer scarf, how many scarves can be made from the roll? 7 4 4949 40 9 or 1 10 3 4. 2 1212 ÷ 1717 35 44

7. 3-7 Dividing Fractions and Mixed Numbers 6. Divide. Write your answer in simplest form. 10 ÷ A. 6 B. 18 C. 12 D. 24 Lesson Quiz for Student Response Systems 5656

8. 3-7 Dividing Fractions and Mixed Numbers 7. Divide. Write your answer in simplest form. ÷ A. or 4 C. B.or 2D. Lesson Quiz for Student Response Systems 20 5 20 7 4 35 3 35 4747 1515 6767

9. 3-7 Dividing Fractions and Mixed Numbers 8. Divide. Write your answer in simplest form. ÷ 15 A. or 9C. B.24 D. or Lesson Quiz for Student Response Systems 75 8 1 24 3 15 5858 3838 1515

10. 3-7 Dividing Fractions and Mixed Numbers 9. Multiply. Write your answer in simplest form. 3 ÷ 5 A. C. or 1 B. D. 27 Lesson Quiz for Student Response Systems 50 81 23 27 81 50 1313 2525 31 50

11. 3-7 Dividing Fractions and Mixed Numbers 10. A blacksmith has 6 pounds of iron with him. If it takes of a pound to make one lock, how many locks can he make from the iron? A. 9 locks B. 11 locks C. 12 locks D. 13 locks Lesson Quiz for Student Response Systems 1212 1212