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A ratio compares two or more quantities of the same kind. Written as a:b or a/b. Ratios are used in recipes (3:1 flour to water), maps (1:50,000), financial analysis (P/E ratio), and mixing (2-stroke fuel). A proportion is an equation stating two ratios are equal.

단계별 가이드

  1. 1Simplify by dividing by GCF: 12:8 = 3:2
  2. 2Part-to-part: ratio of boys to girls in a class
  3. 3Part-to-whole: boys to total students (gives fraction/percentage)
  4. 4Proportion: if a/b = c/d, then ad = bc (cross multiplication)

풀어진 예시

입력
Ratio 15:25
결과
3:5 (simplified)
GCF of 15 and 25 = 5
입력
Recipe: 3:2:1 flour:water:oil for 600g total
결과
300g flour, 200g water, 100g oil
3+2+1=6 parts; 600/6=100g per part

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