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9/2 Fractional Odds Explained

Decimal
5.50
American
+450
Fractional
9/2
Implied probability
18.18%
Polymarket
18¢
$100 wins
450.00
Inputs
Results
Decimal odds5.500
American
+450
Fractional
9/2
Implied probability
18.18%
Polymarket
18¢
Profit
450.00
Total return
550.00

5.500 decimal, +450 American, 18.18% implied probability

At 9/2 a 100 stake returns 550.00: the 100 back plus 450.00 profit. Decimal bettors know the price as 5.50, American bettors as +450, and prediction-market traders as a 18¢ share.

What 9/2 pays

Profit is stake multiplied by the fraction; add the stake back for the total return. A 100 stake wins 450.00 and returns 550.00.

Payout by stake
StakeProfitTotal return
1045.0055.00
25112.50137.50
50225.00275.00
100450.00550.00
5002,250.002,750.00
1,0004,500.005,500.00

Break-even and long-run results

The implied probability of 9/2 is bottom divided by top-plus-bottom, which is 18.18%. Win more often than that and you profit over time.

Return on stake by long-run win rate
Win rateReturn on stake
18%-1.0%
50%175.0%
55%202.5%
60%230.0%
65%257.5%

9/2 is a longshot implying 18.18%. Long fractional prices move in big steps (16/1, 20/1, 25/1, 33/1), and bookmakers shade them heavily, so the fair price is usually longer than the quoted one suggests.

Converting 9/2 by hand

Divide the top of the fraction by the bottom and add one for the decimal price, 5.50. For the implied probability, divide the bottom by the sum of top and bottom: 18.18%. American odds follow from the decimal price: odds-against, so (5.50 − 1) × 100 gives +450. The same chance on a prediction market is a 18¢ share.

The vig at 9/2

With both sides of a two-way market at 9/2, implied probabilities would sum to -63.64% above 100%: a -175.00% margin on stakes. The fair price would be 2.00 decimal each side. Try other markets in the devig calculator.

9/2 on a betting exchange

On an exchange 9/2 is worth 5.410 decimal after 2% commission and 5.275 after 5%. Compare with the bookmaker before choosing where to bet.

Effective odds on an exchange
CommissionEffective decimalEffective AmericanBreak-even
2%5.410+44118.48%
5%5.275+42818.96%

Neighbouring rungs on the ladder

Fractional prices move in fixed rungs rather than smooth steps, so a bookmaker who wants to shorten 9/2 slightly has to jump to the next rung down, and the size of that jump depends on where you are on the ladder. The nearby prices listed below are the rungs on either side of 9/2; each link opens the same set of facts for that price, which is the quickest way to see how much a one-rung move changes the implied probability and the payout.

Same price in other formats

Same price in other formats

Nearby prices

Nearby prices

  • 100/30 · 4.33 · 23.1%
  • 7/2 · 4.50 · 22.2%
  • 4/1 · 5.00 · 20.0%
  • 5/1 · 6.00 · 16.7%
  • 11/2 · 6.50 · 15.4%
  • 6/1 · 7.00 · 14.3%

Frequently asked questions

What does 9/2 mean in betting?

Fractional odds of 9/2 pay the top number in profit for every bottom number staked. A 100 stake wins 450.00 and returns 550.00. The implied probability is 18.18%.

What is 9/2 in decimal odds?

9/2 is 5.50 in decimal odds: divide the top by the bottom and add 1.

What is 9/2 in American odds?

9/2 converts to +450 in American odds.

Is 9/2 a good price?

A price is good only relative to the true chance. 9/2 implies 18.18%; if you believe the outcome is more likely than that, the price has value. Compare it with a devigged market to check.

Why do bookmakers use a ladder of fractions?

Tradition and readability: prices such as 6/4, 100/30 and 11/10 are quoted instead of their reduced forms because they are what racecourse bookmakers have always used. Decimal odds show the same prices with finer steps.