Probability Fraction Calculator
Convert Between Probability Formats with Step-by-Step Derivation
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Probability Conversion Formulas
p (decimal) = numerator / denominator
p (percent) = p (decimal) × 100%
Odds = p / (1 - p)
Simplify fractions by dividing numerator and denominator by their GCD!
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Probability ranges from 0 (impossible) to 1 (certain).
What is Probability?
Probability measures the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain).
Fraction
numerator/denominator
💡 Example: p=0.75 → 3/4, 75%, odds=3 (3:1 in favor)
Applications
Statistics
Gambling
Risk Analysis
Finance
Medicine
Frequently Asked Questions
What is probability?▼
Probability = favorable outcomes / total outcomes. Range: 0 ≤ p ≤ 1. Can be fraction, decimal, percentage.
How to convert decimal to fraction?▼
Write as fraction over 10^n, simplify by dividing numerator/denominator by GCD. e.g., 0.75 = 75/100 = 3/4.
What are odds?▼
Odds = p/(1-p). Odds in favor vs against. e.g., p=0.5, odds=1 (1:1).
What is GCD?▼
Greatest Common Divisor = largest number dividing both numerator, denominator. Used to simplify fractions.
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