How this calculator works
Enter whole-number profit and stake parts. The calculator reduces that ratio and gives a settlement table plus the equivalent decimal and signed moneyline quotes. Fractional odds below one are odds-on: winning profit is smaller than the amount risked. Probability or outcome-count modes construct the corresponding fair quote. Reverse settlement finds the amount needed for a chosen winning profit. Fees, taxes and special promotions are excluded; streaks assume independent trials with a constant chance.
Formula
At fractional odds a/b: profit = stake x a/b; return = stake x (1 + a/b); implied probability = b/(a + b); stake for target profit = target profit x b/a.
Worked example
The quote 6/4 reduces to 3/2. A $20 winning stake produces $30 profit and a $50 total return. By contrast, 1/4 produces only $10 profit from a $40 stake.
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Frequently asked questions
Are fractional odds a probability fraction?
No. The fraction describes profit divided by stake. At 3/2 the implied probability is 2/5, rather than 3/2.
What does evens mean?
Evens is 1/1. A win profits the same amount as the stake and returns twice the stake.
Can a quote have a zero numerator?
Zero profit gives decimal odds of one and returns only the stake. A target-profit stake cannot be recovered from a quote with no profit.
Is the displayed fraction always reduced?
Whole-number quotes and count-derived odds are reduced exactly. Probability-derived odds may use a decimal profit part rounded to ten significant digits.