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8. 2_4 ÷ 2_4 = 1, 2_4 ÷ 1_2 = 1 or 1_2 ÷ 1_2 = 1 9. 4_5 ÷ 2_5 = 2 10. 4_6 ÷ 2_6 = 2, 2_3 ÷ 2_6 = 2, 4_6 ÷ 1_3 = 2 or 2_3 ÷ 1_3 = 2 11. 6_ _12 ÷ 2_ _ 12= 3, 1_2 ÷ 2_ _ 12= 3, 6__ 12÷ 1_6 = 3 or 1_2 ÷ 1_6 = 3 12. 1_2 ÷ 1_2 = 1 13. 6_8 ÷ 2_8 = 3 , 3_4 ÷ 2_8 = 3, 6_8 ÷ 1_4 = 3
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8. 2_4 ÷ 2_4 = 1, 2_4 ÷ 1_2 = 1 or 1_2 ÷ 1_2 = 1 9. 4_5 ÷ 2_5 = 2 10. 4_6 ÷ 2_6 = 2, 2_3 ÷ 2_6 = 2, 4_6 ÷ 1_3 = 2 or 2_3 ÷ 1_3 = 2 11. 6_ _12 ÷ 2_ _ 12= 3, 1_2 ÷ 2_ _ 12= 3, 6__ 12÷ 1_6 = 3 or 1_2 ÷ 1_6 = 3 12. 1_2 ÷ 1_2 = 1 13. 6_8 ÷ 2_8 = 3 , 3_4 ÷ 2_8 = 3, 6_8 ÷ 1_4 = 3 or 3_4 ÷ 1_4 = 3 14. 3 measuring cups 15. 4 times 16. 10 blocks 17. 8 slices 18. 1 _ 6 19. 3 _ 8 20. 1 _ 4 21. 20 22. 12 23. 30 24. 1 7 _ 8 25. 1 19 __ 24 26. 3 13 __ 15
Lesson 5.4 Dividing Fractions
Warm-Up 1. 2. 3. 4. What is of foot? 5. What is of mile?
Lesson 5.4 Dividing Fractions Find quotients of expressions involving two fractions.
Vocabulary Reciprocals Two numbers whose product is 1. EXAMPLE
Example 1 Find the reciprocal of each number. a. b. c.
Dividing Fractions 1) Flip the second fraction 2) Change to MULTIPLICATION 3) Solve 4) Simplify
Example 2 Find the value of . Find the reciprocal. Multiply the dividend by the reciprocal of the divisor.
Example 3 Yvette climbed the stairs at her house. Each stair was of the staircase. How many stairs had she climbed? Write the problem. Find the reciprocal of the divisor. Multiply the dividend by the reciprocal.
Example 3 Continued… Yvette climbed the stairs at her house. Each stair was of the staircase. How many stairs had she climbed? Check using a model.
Example 4 At the beginning of this lesson, you saw a drawing of the model for . Find this quotient. Find the reciprocal of the divisor. Multiply the dividend by the divisor’s reciprocal. Simplify.
Communication Prompt What do you find most challenging when dividing fractions by fractions?
Exit Problems Find the value of . Find the value of . Madyson runs mile to the gym each day. She passes a traffic light every mile. How many traffic lights does she pass as she runs each day? Sorrell has yard of fabric. She cuts it into pieces that are yard long. How many pieces does she have?