Ratio Calculator
Simplify ratios into lowest terms using greatest common divisor (GCD) and calculate decimal and percentage equivalents.
Reduced from 36 : 48 using greatest common divisor
Ratio Simplification & Equivalence Mathematics
Simplifies mathematical ratios (A:B) into lowest integer terms using the Greatest Common Divisor (GCD/HCF), computing decimal ratio values and percentage shares.
Calculation Steps
- 1Find the Greatest Common Divisor (GCD) of the two ratio terms using Euclidean algorithm.
- 2Divide both terms by the GCD to find the simplified ratio in lowest terms.
- 3Calculate decimal quotient: A / B.
- 4Calculate part-to-whole percentages: [A / (A+B)] * 100 and [B / (A+B)] * 100.
Practical Example
Scenario: Simplify the ratio 48 : 72
Inputs: Ratio: 48 : 72
Calculation: GCD of 48 and 72 is 24. 48 / 24 = 2, 72 / 24 = 3.
Result: Simplified Ratio: 2 : 3 | Decimal: 0.6667 | Proportions: 40% and 60%
Assumptions & Disclaimers
Key Assumptions:
- Both terms in the ratio must be non-zero positive numbers.
- Ratios with decimals are multiplied by powers of 10 before simplification.
Ratios represent proportional relationships, not absolute quantities.
Frequently Asked Questions
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