Simplify
\(12 : 18 = 2 : 3\) (divide by GCD = 6)
Calculatrice de rapport
Calculer et simplifier les rapports, trouver des rapports équivalents, résoudre des proportions et diviser les valeurs selon les rapports avec explications détaillées
Résultats
Entrez les valeurs et cliquez sur Calculer pour voir le résultat.
Ratios and Proportions
A ratio compares two or more quantities. Ratios can be simplified, scaled, or used to divide quantities proportionally.
Key Concepts:
- Simplifying: Divide all terms by their GCD
- Equivalent Ratios: Multiply or divide all terms by the same number
- Proportion: An equation stating two ratios are equal: a:b = c:d
- Cross Multiplication: If a/b = c/d, then a×d = b×c
Applications:
- Recipe scaling and cooking
- Map scales and distances
- Financial ratios and budgeting
- Mixing solutions and concentrations
- Speed, density, and other rates
Worked Examples
Equivalent
\(2 : 3 = 4 : 6 = 6 : 9\) (multiply by 2, 3)
Split Value
Split $100 in ratio \(2:3 \rightarrow\) $40 and $60