Betting Odds Converter
Convert betting odds between decimal, American (moneyline), and fractional formats, and see the implied win probability each one encodes.
- Decimal odds
- 2.5
- American odds
- +150
- Fractional odds
- 3/2
- Implied win probability
- 40%
How it works
All three odds formats encode the same thing — how much you profit relative to your stake if the bet wins — just written differently. Decimal odds are the simplest to compute from: they're the total payout multiplier including your stake, so profit ratio = decimal odds − 1, and the implied win probability is simply 1 ÷ decimal odds.
American (moneyline) odds use a sign convention: positive odds like +150 mean "a $100 bet profits $150" (profit ratio = odds ÷ 100), while negative odds like -200 mean "you must bet $200 to profit $100" (profit ratio = 100 ÷ |odds|). By convention, American odds are never quoted with a magnitude under 100 — that's the +100/-100 break-even boundary, which lines up exactly with decimal odds of 2.00 (even money).
Fractional odds write that same profit ratio directly as numerator/denominator (e.g. 3/2 means "profit 3 units for every 2 staked"). This calculator reduces the ratio to an exact fraction accurate to six decimal places rather than rounding to a 'nicer-looking' approximate fraction, so the result is always mathematically exact for the odds you entered.
FAQ
Why can't I enter fractional odds directly?
Decimal and American cover every value a fractional quote can represent, and computing the exact reduced fraction only needs the profit ratio in one direction — from decimal or American, not the other way around. If you have a fractional quote like 7/4, just convert it to decimal yourself first (7/4 + 1 = 2.75) and enter that.
Why is the implied probability not the bookmaker's actual edge?
The implied probability here is the mathematical break-even probability the quoted odds encode on their own (1 ÷ decimal odds) — it doesn't account for the bookmaker's built-in margin ("overround"), which in real markets makes the sum of implied probabilities across all outcomes add up to more than 100%. This calculator only converts the odds format; it has no access to a live market's actual prices.
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