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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