Ratio & Proportion Calculator
Simplify ratios, solve proportions for missing values, and split totals
Calculation Result
Simplified Ratio
2 : 3
Decimal: 0.6667Term A
24
Term B
36
Decimal Equiv
0.6667
How this calculator works
1
Simplify an existing ratio A : B to lowest integers.
2
Or find missing value X in the proportion A : B = C : X.
Formula & Mathematics
Ratio Proportion Rule
A : B = C : D ⟹ D = (B × C) / A
Cross-multiplication preserves proportional equivalence across scale dimensions.
Worked Example
Simplify 24 : 36 and solve proportion 4 : 5 = 12 : X
Simplification and missing term calculation.
• GCD(24, 36) = 12 ⟹ 24/12 : 36/12 = 2 : 3
• For 4 : 5 = 12 : X ⟹ X = (5 × 12) / 4 = 15
Simplified ratio is 2 : 3. Missing term X = 15.
Frequently Asked Questions
An aspect ratio like 16:9 means for every 16 units of width, there are 9 units of height.
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