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American ↔ Decimal ↔ Fractional ↔ Implied Probability

Every sportsbook displays prices differently. This converter translates American odds (e.g. -110 or +150) into decimal, fractional, and the raw win probability baked into the price — instantly.

Decimal
1.909
Fractional
100/110
Implied Probability
52.38%

The implied probability is the win chance the price encodes before the book's cut. Compare it to your own estimate to judge whether a bet has value.

Check a market's vig →

Favorites are negative (e.g. -150), underdogs are positive (e.g. +130)

How this works

Formula

decimal = 1 + (american/100 if american>0 else 100/|american|) ; implied = 1/decimal

Worked example

+150 → 2.50 decimal → 3/2 fractional → 40% implied probability.

FAQ

What does -110 actually mean?

-110 means you must risk $110 to win $100. Decimal: 1.91. Implied probability: 52.38%.

How do I convert fractional odds?

Decimal = numerator/denominator + 1. So 5/2 = 2.50 + 1 = 3.50 decimal, or +250 American.

Why is implied probability higher than 50% on a -110 favorite?

Because the book bakes vig into both sides. Two -110 prices sum to 104.76% implied — the extra 4.76% is the book's hold.

What about pick'em (+100)?

+100 is even money: 2.00 decimal, 1/1 fractional, 50% implied probability.

Do these conversions work for in-play odds?

Yes — the math is identical for pre-game and live odds; only the price changes.

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