Odds converter: American, decimal and fractional
American (-110), decimal (1.91) and fractional (10/11) odds are three ways to write the same price. Each one converts to the others, and to an implied probability.
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Worked example
To start, the box below is filled in with 6/4. This starting line is fractional odds, and its card shows the same price as decimal and American odds, plus the implied probability. The box is editable: type any line, or tap one under the card, and the explanation updates.
6/4: a stake of 4 wins 6, and the stake comes back too.
What it means
On a moneyline, the bet wins if your pick wins. The same kind of price is also used on spreads and totals. The other side has its own price. Enter both sides with a slash between them (for example 1/2 / 17/10) to see the bookmaker's margin.
Scenarios
| If… | 6/4 |
|---|---|
| Your pick wins | Win |
| Your pick loses | Loss |
The numbers
6/4 6/4
- Implied probability
- 40.00%
- Decimal
- 2.50
- American
- +150
- Per 100 staked
- returns 250 (profit 150)
Watch out for
Fractional odds show profit, not the total return. At 6/4, a stake of 4 wins 6, and you get 10 back in total.
Learn more: Odds converter
Common lines to try
The three formats
- American (
-110,+150), used mostly in the US. A minus number is what you stake to win 100. A plus number is what a 100 stake wins. - Decimal (
1.91,2.50), used across Europe and Australia. The total return for every 1 staked, stake included. - Fractional (
10/11,6/4), used mostly in the UK and Ireland. Profit compared with stake: 6/4 means 6 profit for every 4 staked. Evens is 1/1.
To convert a decimal price in the translator, tick My odds are decimal. Without it, a number
like 2.50 could also be a spread or a total, so the translator asks what you meant.
Common odds side by side
| American | Decimal | Fractional | Implied probability |
|---|---|---|---|
| −200 | 1.50 | 1/2 | 66.67% |
| −150 | 1.67 | 4/6 | 60.00% |
| −120 | 1.83 | 5/6 | 54.55% |
| −110 | 1.91 | 10/11 | 52.38% |
| +100 | 2.00 | evens (1/1) | 50.00% |
| +120 | 2.20 | 6/5 | 45.45% |
| +150 | 2.50 | 6/4 | 40.00% |
| +200 | 3.00 | 2/1 | 33.33% |
| +300 | 4.00 | 3/1 | 25.00% |
| +500 | 6.00 | 5/1 | 16.67% |
The formulas
Everything goes through decimal odds first.
- American minus (A): decimal = 1 + 100 ÷ |A|. So −110 → 1 + 100 ÷ 110 = 1.9091.
- American plus (A): decimal = 1 + A ÷ 100. So +150 → 2.50.
- Fractional a/b: decimal = 1 + a ÷ b. So 6/4 → 2.50.
- Decimal to American: at 2.00 or more, (decimal − 1) × 100 with a plus sign. Below 2.00, −100 ÷ (decimal − 1). So 1.50 → −200.
- Implied probability = 1 ÷ decimal. So 2.50 → 40.00%.
Why conversions don’t always round-trip
Decimal odds are usually shown to 2 places and American odds as whole numbers, so converting back and forth can drift a little. −110 is exactly 1.9091 as a decimal, which displays as 1.91. Going the other way, 1.91 is −109.89, which displays as −110. The translator keeps full precision for the maths and only rounds what it shows.
What implied probability is (and isn’t)
Implied probability is the price written as a percentage. It includes the bookmaker’s margin, so both sides of a market add up to more than 100%. The moneyline guide works through an example, and the glossary defines margin and hold.
Common misreadings
- Decimal 2.50 means a profit of 2.50.
- Decimal odds include the stake. 2.50 returns 2.50 for every 1 staked, so the profit is 1.50.
- 6/4 is the same as 1.64.
- 6/4 means 6 profit for every 4 staked. As decimal odds that's 2.50, not 1.64.
- A different format means a different payout.
- -110, 1.91 and 10/11 are the same price written three ways. Apart from small rounding, they pay the same.