Ratio Calculator

Ratio Simplifier, Proportion & Division Calculator

Reduce ratios to lowest terms, solve missing cross-multiplication proportions, and distribute total quantities into specific ratio shares

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Simplified Ratio in Lowest Terms
16 : 9
Already in Lowest Terms
Decimal Value: 1.7778 • Fraction: 16/9 (1.7778 : 1)
Greatest Common Divisor (GCD) 1 Common factor divisor
Normalized Unit Rate (A ÷ B) 1.7778 : 1 Scaled relative to B = 1
Inverted Unit Rate (B ÷ A) 1 : 0.5625 Scaled relative to A = 1
Percentage Share Breakdown 64.00% : 36.00% A portion vs B portion share
Cross-Multiplication Proportion: A : B = C : X
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Solved Unknown Proportion Value (X)
X = 20.000
Cross-Multiplication Verified
Formula: X = (B · C) / A = (4 · 15) / 3 = 60 / 3
Cross Product Equality (A · X = B · C) 60.00 = 60.00 Equation equality confirmed
Scale Multiplier Factor (C ÷ A) 5.0000× Left-to-right expansion factor
Ratio Consistency Quotient 0.7500 A/B = C/X = 3/4 = 0.75
Alternative Form 3 : 4 = 15 : 20 Full proportional statement
Total sum amount to share
Ratio Shares (e.g., A : B : C)
Leave 0 to omit part 3
Distributed Ratio Shares
200.00 : 300.00 : 500.00
Total Parts Sum: 10 • Unit Part Value: 100.00
Share 1 (20.0%) 200.00 2 parts out of 10
Share 2 (30.0%) 300.00 3 parts out of 10
Share 3 (50.0%) 500.00 5 parts out of 10
Verification Check 1,000.00 Sum equals total quantity Q