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Odds Converter

Calculator

American, decimal, fractional and implied probability are four ways of writing the same price. Enter any one and the rest follow.

Enter any one format

Type in one box. The other three update as you type.

American
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Decimal
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Fractional
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Implied probability
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Hong Kong
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Profit on 100 staked
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Total return on 100
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American → decimal: A ≥ +100 → D = 1 + A/100 A ≤ -100 → D = 1 + 100/|A| Decimal → American: D ≥ 2 → A = (D - 1) x 100 D < 2 → A = -100 / (D - 1) Fractional n/d → D = 1 + n/d Implied probability → p = 1 / D Hong Kong → HK = D - 1 Profit on stake S → S x (D - 1)

What the number means

All four formats describe the same thing: how much you get back if the bet wins. Decimal states the total return per unit staked, American states the profit on 100 (positive) or the stake needed to win 100 (negative), fractional states profit against stake, and implied probability restates the price as a percentage.

The conversion is exact and reversible. Small rounding differences appear because American odds are usually quoted in whole numbers while decimal is quoted to two or four places, so -110 and 1.91 are not quite the same price. That gap is real money over a large number of bets, which is why the decimal column here is shown to four places.

Where it misleads

Implied probability from a single quoted price is not the market's estimate of the outcome. It includes the operator's margin, so the implied probabilities of both sides of a two-way market add up to more than 100%. Two sides at -110 imply 52.38% each, which totals 104.76%. Stripping that margin out is a separate step, and the vig calculator does it.

American odds strictly between -100 and +100 do not exist. +100 and -100 are the same price (decimal 2.00, even money). If you type something inside that range this page tells you instead of quietly showing a wrong answer.

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