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Understanding Ratios
Basic Concepts
- Ratio compares two quantities
- Written as a:b or a/b
- Order matters (a:b ≠ b:a)
- Both numbers must be non-zero
Proportions
- Two equal ratios (a:b = c:d)
- Cross multiply: ad = bc
- Used to find missing values
- Scale drawings and maps
Applications
- Recipe scaling
- Map scales
- Financial ratios
- Probability