Proposition and Ratio Fractions
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Proposition and Ratio Fractions
📊 Part 1: Understanding Proportions
✏️ Part 2: Solving Proportions
Show your work:
Answer: y = _______
Set up the proportion:
Answer: _______ boys
Answer: _______
Write and solve the proportion:
Answer: _______ miles
Answer Key - Proposition and Ratio Fractions
📊 Part 1: Understanding Proportions - ANSWERS
Answer: 2/3 = 4/6 (Cross multiply: 2×6 = 12, 3×4 = 12)
Answer: 9 (Cross multiply: 3×15 = 45, 45÷5 = 9)
Answer: 9 cups (2/3 = 6/x, cross multiply: 2x = 18, x = 9)
Answers: 2:3, 8:12, 12:18 (All simplify to 2:3 when reduced)
✏️ Part 2: Solving Proportions - ANSWERS
Work: Cross multiply: 7×20 = 14×y → 140 = 14y → y = 10
Answer: y = 10
Proportion: 3/5 = x/15
Answer: 9 boys (Cross multiply: 3×15 = 45, 45÷5 = 9)
Answer: 3 (12/16 = 3/4, so 3/4 = 3/4)
Proportion: 240/4 = x/7
Work: Cross multiply: 240×7 = 4x → 1680 = 4x → x = 420
Answer: 420 miles
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