Convert a fractional price such as 3/2 into its decimal, American and implied-probability equivalents, then see the return for an optional stake.
Fractional odds express net profit relative to stake. Decimal odds include the returned stake, so one is added to the fraction.
Fractional odds of 0/1 represent an even return of stake only at decimal 1.00 and are normally not an open betting price.
Fractional odds 3/2 equal decimal 2.50, American +150 and 40% implied probability. A $100 stake returns $250 including $150 profit.
| Fractional | 3/2 |
|---|---|
| Decimal | 2.50 |
| American | +150 |
| Implied probability | 40% |
| $100 total return | $250 |
Divide 3 by 2 and add 1, giving decimal odds of 2.50.
Five divided by one plus one gives decimal odds of 6.00.
Divide the denominator by the sum of numerator and denominator, then multiply by 100%.
Decimal odds quote total return, whereas fractional odds quote net profit relative to stake.
If the fraction is at least 1, multiply it by 100; if below 1, divide −100 by the fraction.
| Fractional | 3/2 |
|---|---|
| Decimal | 2.50 |
| American | +150 |
| Probability | 40% |