American, decimal and fractional odds explained (how to read and convert all three)

Last updated: 2026-07-30 ·

American odds (+150, -200), decimal odds (2.50, 1.50) and fractional odds (1/2, 3/1) are three different notations for exactly the same underlying price. A sportsbook doesn't change what it's willing to pay you by switching the display format — it's the same implied probability and the same payout, just written differently, which is why converting between formats correctly matters more than memorizing any single one.

American odds: the plus/minus format

American odds use a plus sign for underdogs and a minus sign for favorites. Positive odds like +150 show how much profit a $100 bet returns — $150 profit on $100 risked. Negative odds like -200 show how much you need to risk to profit $100 — $200 risked to win $100 profit. A bet exactly at even money is always listed as +100, never as 0 or -100, which is a common beginner mix-up. The sign itself does the job that decimal and fractional formats handle with a single number: it tells you at a glance whether you're backing the favorite or the underdog before you even look at the payout math.

Decimal odds: total return per unit staked

Decimal odds, standard across Europe, Canada and Australia, show your total return — stake plus profit — for every 1 unit wagered. Decimal odds of 2.50 mean a $10 bet returns $25 total ($15 profit plus the $10 stake back); decimal odds of 1.50 mean that same $10 bet returns $15 total. Converting American to decimal: positive American odds divide by 100 and add 1 (so +150 becomes 2.50), negative American odds divide 100 by the absolute value and add 1 (so -200 becomes 1.50). Decimal is generally considered the easiest format for quick mental math precisely because it always represents total return rather than profit-only or a ratio.

Fractional odds: the ratio format British bookmakers still use

Fractional odds, most common at UK bookmakers and in horse racing, express profit as a ratio to stake. 3/1 (read "three to one") means $3 profit for every $1 staked; 1/2 ("one to two" or "half") means $1 profit for every $2 staked, making it a way of pricing a heavy favorite. Converting decimal to fractional is simple: subtract 1 from the decimal odds and express the result as a fraction, so decimal 2.50 becomes the fraction 3/2 (equivalent to 1.50 in extra decimal profit, expressed as a ratio). Fractional is the least intuitive format for parlay math since combining fractions requires converting to decimal first, which is part of why it has lost ground even in UK markets that historically defaulted to it.

Implied probability: what any format is actually telling you

Every odds format converts to an implied probability, which is the more useful number for comparing whether a price actually represents value, similar to how bookmaker margin and vig explained shows that a book's total implied probability across all outcomes always adds up to more than 100%. For decimal odds, implied probability equals 1 divided by the decimal odds; for positive American odds it's 100 divided by (the American odds plus 100); for negative American odds it's the absolute value divided by (the absolute value plus 100). A -200 favorite implies a 66.7% win probability, and a +150 underdog implies 40% — the format changes, but converting any of the three back to this single probability number is the only reliable way to compare prices that a sportsbook displays in different notations, or to compare your own price shopping across books that default to different formats.

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