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Cross-Format Precision

Master Odds Converter

Convert decimal, American, and fractional odds and show the implied probability. Seamlessly convert between Decimal, American, and Fractional formats with instant implied probability calculation — plus a full conversion guide and reference table below.

Market Probability
47.62%
American
+110
Decimal
2.10
Fractional
11/10
Core Theory

Understanding odds formats is crucial for cross-market arbitrage and identifying value. Decimal odds represent the total return (stake + profit). American odds show either how much you need to bet to win $100 (negative) or how much $100 wins (positive).

Implied Probability

The most important metric for a bettor. It converts odds into a percentage chance of an event occurring:1 / Decimal Odds = Probability. If your estimate is higher than this, you've found "Value".

How the Odds Converter Works

Betting odds exist in three formats: Decimal (Europe/Australia), American/Moneyline (USA), and Fractional (UK/Ireland). All three express the same underlying probability — they simply present it differently. A professional bettor must be fluent in all three because the same event may be quoted in different formats across different bookmakers. The sections below break down how to read each format, when you'll encounter it, and how to convert between all three by hand.

Decimal Odds: How to Read and Use Them

Decimal odds are the default in Europe, Australia, Canada, and among professional bettors and betting exchanges like Betfair. A decimal odd of 2.50 means you receive $2.50 total for every $1 wagered — your $1 stake back plus $1.50 profit. Even money is exactly 2.00. A heavy favorite might sit at 1.20 (20% profit); a longshot might be 8.00 (700% profit).

Implied probability is the simplest of the three formats to compute: p = 1 / decimal. Decimal 1.50 → 66.67% implied probability. Decimal 4.00 → 25%. Anything below 2.00 means the bookmaker rates the outcome more likely than not to happen. Because decimal odds convert to probability and to total return in one step, they are the format used internally by virtually every professional betting model — including the calculator above.

American (Moneyline) Odds: How to Read and Use Them

American odds are the standard at US sportsbooks. A positive number like +130 shows how much profit a $100 bet returns. A negative number like −150 shows how much you must stake to win $100 profit. Every even-money price is written as +100 (equivalent to −100 and to decimal 2.00).

To convert to decimal: positive American → (American / 100) + 1; negative American → (100 / |American|) + 1. So −150 becomes (100/150) + 1 = 1.667, equivalent to fractional 2/3. The standard US spread and totals price is −110 — decimal 1.909, implied probability 52.38%. Because both sides of a spread are usually −110, the book totals 104.76%, a 4.76% theoretical hold for the sportsbook.

Fractional Odds: How to Convert Them to Decimal

Fractional odds (e.g., 5/2, read "five-to-two") are the traditional format in UK and Irish horse racing and bookmaking. They express net profit relative to stake: 5/2 means you profit $5 for every $2 staked, a total return of $7 on a $2 bet. A fraction with a smaller numerator than denominator, like 1/4, describes an odds-on favorite — profit smaller than stake.

To convert fractional odds to decimal: decimal = (numerator / denominator) + 1. So 5/2 → 3.50, 7/4 → 2.75, and 1/4 → 1.25. Implied probability from a fraction is denominator / (numerator + denominator): for 5/2 that's 2/(5+2) = 28.57%. Fractional notation can be ambiguous — 5/2 and 10/4 describe the identical price, but a book may quote either depending on convention, which is one more reason decimal is easier to work with at scale.

When Each Format Is Used

Which format you see is almost entirely a function of geography, not of the underlying odds. European, Australian, and Canadian books default to decimal. US sportsbooks default to American/moneyline. UK and Irish bookmakers — especially in horse racing — still favor fractional, though most now also show decimal on request.

For calculation, the answer is unambiguous: use decimal. Expected value, Kelly stake sizing, and no-vig fair-odds math are all one-step operations in decimal; American requires branching on sign, and fractional requires an extra division. Serious bettors typically think and calculate in decimal even when the sportsbook displays American or fractional, converting only at the point of placing the bet.

Conversion Formulas

Implied Probability    = 1 / Decimal
Decimal from American  = (Amer / 100) + 1        [if Amer > 0]
                       = (100 / |Amer|) + 1      [if Amer < 0]
Decimal from Fraction  = (Num / Den) + 1
American from Decimal  = (Dec − 1) × 100         [if Dec ≥ 2.00]
                       = −100 / (Dec − 1)         [if Dec < 2.00]
Probability (Amer +)   = 100 / (Amer + 100)
Probability (Amer −)   = |Amer| / (|Amer| + 100)
Probability (Fraction) = Den / (Num + Den)

Fractional, Decimal & American Odds Conversion Table

Use this table to convert fractional odds to decimal, decimal to American, or any combination without doing the math by hand.

DecimalAmericanFractionalImplied ProbabilityTypical Meaning
1.10−10001/1090.91%Extreme favorite
1.25−4001/480.00%Heavy favorite
1.40−2502/571.43%Strong favorite
1.50−2001/266.67%Clear favorite
1.67−1504/6 (2/3)59.88%Small favorite
1.83−1205/654.64%Slight favorite
1.909−11010/1152.38%Standard −110 juice
2.00+1001/1 (evens)50.00%Pick-em / fair
2.10+11011/1047.62%Slight dog
2.50+1503/240.00%Moderate dog
3.00+2002/133.33%Clear dog
4.00+3003/125.00%Big dog
6.00+5005/116.67%Long shot
11.00+100010/19.09%Deep long shot
26.00+250025/13.85%Futures long shot
101.00+10000100/10.99%Futures extreme

Conversion Examples

Even Money

Decimal: 2.00 = American +100 = Fractional 1/1. Implied: 50.00%.

Heavy Favourite

Decimal: 1.25 = American −400 = Fractional 1/4. Implied: 80.00%.

Big Underdog

Decimal: 5.00 = American +400 = Fractional 4/1. Implied: 20.00%.

Fractional → Decimal

Fractional 9/4 → Decimal (9÷4)+1 = 3.25 → American +225. Implied: 4/13 = 30.77%.

Decimal → Fractional

Decimal 1.625 → net 0.625 = Fractional 5/8 → American −160. Implied: 61.54%.

Frequently Asked Questions

Which odds format should I use for calculations?

Decimal odds are best for mathematical calculations — implied probability, expected value, and Kelly Criterion all use decimal format as their base. Use this converter to translate bookmaker quotes into decimal, then apply your formulas.

Why do bookmakers quote different formats?

It's purely regional convention. European and Australian books use decimal. UK and Irish books traditionally use fractional. North American books use moneyline. Most online bookmakers let you switch formats in account settings.

How do I convert American odds to decimal by hand?

For positive American odds, divide by 100 and add 1: +130 becomes (130/100) + 1 = 2.30. For negative American odds, divide 100 by the absolute value and add 1: −150 becomes (100/150) + 1 = 1.667. The converter above does both directions instantly.

What is implied probability and why does it matter?

Implied probability is the win percentage the bookmaker's odds suggest. If implied probability is 45% but you estimate the true probability at 52%, you have a 7% edge. Recognizing this discrepancy is the entire foundation of professional betting.

Why does the sum of implied probabilities exceed 100%?

Because bookmakers add a margin (vig/overround) across all outcomes. A standard market with 1.91/1.91 odds has 52.36% + 52.36% = 104.72% total. The excess 4.72% is the bookmaker's profit margin built into the odds.

Are +100, decimal 2.00, and fractional 1/1 the same odds?

Yes — all three represent exact even money. A $1 bet returns $1 profit plus the original stake, for $2 total. Implied probability is exactly 50%, which is what a coin flip would price at with zero bookmaker margin.

How do I convert fractional odds like 11/10 to decimal and American?

First to decimal: (11 / 10) + 1 = 2.10. Since 2.10 ≥ 2.00, American = (2.10 − 1) × 100 = +110. Implied probability = 10 / (11+10) = 47.62%. The same three-step process — fraction to decimal, decimal to American, decimal to probability — works for any fractional price.

How do I calculate no-vig (fair) odds from a quoted price?

If you only have one side of the market, assume a typical bookmaker margin (often 3-6% in mainstream markets) and divide the implied probability by (1 + margin) to strip it out — that's what the no-vig calculator above does. If you have both sides of a two-outcome market, convert each to implied probability, sum them, and divide each individual probability by that sum; the results are the fair, vig-free probabilities.

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