Translate decimal, fractional, and American betting odds into one another and into break-even probability.
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Decimal odds map to probability as 1 ÷ decimal; fractional a/b becomes 1 + a/b; positive American odds become 1 + odds/100, while negative values become 1 + 100/|odds|. A continued-fraction approximation produces a readable fraction with denominator at most 1,000.
Format: decimal Value: 2.5
Decimal odds: 2.5 Fractional odds: 3/2 American odds: +150 Implied probability percent: 40
Betting comparisons change fractional quotes to decimal, market sheets compare American lines, and break-even checks turn price into required win probability.