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Betting odds converter
The betting odds converter converts betting odds between Fractional Odds , Decimal Odds , and American odds (Moneyline).
What are betting odds?
The betting odds provide the ratio between the winning and the wager.
For example, if the odds are 5/2, for wager of $2, if you win you will win $5. In this case, the payment is $7, the wager ($2) plus the winning (5$).
What is the difference between odds and betting odds?
In statistics odds are chances, similar to probabilities, while betting odds represent ratio between amounts.
If you know the betting odds you may calculate the winning probability that yield average of zero wining/losing amount. This is the implied Probability.
Different odds format
Fractional odds - the format is winning/wager, like in the above example 5/2 Decimal odds - the ratio between the payout and the wager.
American odds
Winning > wager: the percentage of the winning related to the wager. 100 * winning/wager=250.
Winning < wager: the percentage of the wager related to the winning , with a negative sign.
e.g wager ($5) winning ($2).
-100 * wager/winning = -250.
Implied Probability - if the winning probability will be equal to the implied probability, then the average winning amount will be zero.
Example: if the odds are 3/1 (winning ($3), wager ($1), payment ($4)), then if the probability to win is 0.25: p*payment - wager = 0.
0.25 * $4 - $1 = 0.

Fractional odds to decimal odds formula
| Decimal odds = 1 + | winning |

| wager |
Fractional odds to American odds formula
Winning ≥ wager: | American odds = 100 * | winning |

| wager |
Winning < wager: | American odds = -100 * | wager |

| winning |
Decimal odds to Fractional odds formula
1. Subtract 1
2. Convert the decimal result to a fraction

Decimal odds to American odds formula
1. Decimal odds ≥ 2: 100 * (Decimal odds - 1)
2. Decimal odds < 2: -100 / (Decimal odds - 1)

American odds to Decimal odds formula
1. American odds ≥ 0: American odds/100 + 1
2. American odds < 0: -100/American odds + 1

American odds to Fractional odds formula
1. American odds ≥ 0: American odds/100
American odds < 0:
-100/American odds
2. Convert the decimal result to a fraction

Rounding
Example, Rounding = 2, format 0.001234 to 0.0012, and 88.1234 to 88.12
The information and tools in this website are given AS IS WITHOUT ANY WARRANTY OF ANY KIND.
Calculators
Odds Probability Combinations Geometric mean Harmonic mean Standard deviation Mean Median Mode IQR