Dividing Mixed Fractions
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Dividing Mixed Fractions
📚 Part 1: Convert and Divide
Directions: Convert each mixed number to an improper fraction, then divide. Show your work and simplify your answer.
🧮 Part 2: Multiple Choice
Instructions: Choose the correct answer for each division problem.
📝 Part 3: Word Problems
Answer: _______ batches
Answer: _______ pieces
Dividing Mixed Fractions - Answer Key
📚 Part 1: Convert and Divide - Answers
Work: 7/3 ÷ 3/2 = 7/3 × 2/3 = 14/9 = 1 5/9
Work: 17/5 ÷ 9/4 = 17/5 × 4/9 = 68/45 = 1 23/45
Work: 25/6 ÷ 5/3 = 25/6 × 3/5 = 75/30 = 5/2 = 2 1/2
Work: 23/4 ÷ 17/8 = 23/4 × 8/17 = 184/68 = 46/17 = 2 12/17
🧮 Part 2: Multiple Choice - Answers
Work: 3/2 ÷ 3/4 = 3/2 × 4/3 = 12/6 = 2
Work: 8/3 ÷ 4/3 = 8/3 × 3/4 = 24/12 = 2
Work: 13/4 ÷ 5/2 = 13/4 × 2/5 = 26/20 = 13/10 = 1 3/10
📝 Part 3: Word Problems - Answers
Work: 4 2/3 ÷ 1 1/6 = 14/3 ÷ 7/6 = 14/3 × 6/7 = 84/21 = 4
Work: 6 3/4 ÷ 1 1/2 = 27/4 ÷ 3/2 = 27/4 × 2/3 = 54/12 = 4 1/2
Sample answer: 1) Convert mixed numbers to improper fractions, 2) Change division to multiplication by the reciprocal, 3) Multiply the fractions, 4) Simplify the result and convert back to a mixed number if needed.
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