Three-Part Ratio Calculator
Simplify three-way ratios (A : B : C) to lowest terms and compute individual proportional shares.
Simplified Ratio
2 : 3 : 4
GCD(A,B,C) 6
Total Parts 9 parts
Percentages 22.2% : 33.3% : 44.4%
2
3
4
Step-by-Step Derivation:
- Original terms: 12 : 18 : 24.
- Find GCD of first two terms: GCD(12, 18) = 6.
- Find GCD with third term: GCD(6, 24) = 6. Overall 3-way GCD = 6.
- Divide each term by 6: 12 ÷ 6 = 2, 18 ÷ 6 = 3, 24 ÷ 6 = 4.
- Simplified 3-part ratio is 2 : 3 : 4.
Real-World Examples of Three-Part Ratios
🏗️ Concrete Mix Proportions:
Standard construction concrete uses a 1 : 2 : 3 ratio (1 part cement, 2 parts sand, 3 parts gravel).
🥖 Baker's Shortbread:
Traditional shortbread uses a 1 : 2 : 3 ratio by weight (1 part sugar, 2 parts butter, 3 parts flour).
Notice an issue or calculation discrepancy?
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