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7/4 Fractional Odds Explained

Decimal
2.75
American
+175
Fractional
7/4
Implied probability
36.36%
Polymarket
36¢
$100 wins
175.00
Inputs
Results
Decimal odds2.750
American
+175
Fractional
7/4
Implied probability
36.36%
Polymarket
36¢
Profit
175.00
Total return
275.00

2.750 decimal, +175 American, 36.36% implied probability

7/4 is a traditional bookmaker price. Read it as "win the top number for every bottom number staked". That is the same as 2.75 decimal odds and +175 American odds, with an implied probability of 36.36%.

What 7/4 pays

Profit is stake multiplied by the fraction; add the stake back for the total return. A 100 stake wins 175.00 and returns 275.00.

Payout by stake
StakeProfitTotal return
1017.5027.50
2543.7568.75
5087.50137.50
100175.00275.00
500875.001,375.00
1,0001,750.002,750.00

Break-even and long-run results

The implied probability of 7/4 is bottom divided by top-plus-bottom, which is 36.36%. Win more often than that and you profit over time.

Return on stake by long-run win rate
Win rateReturn on stake
36%-1.0%
50%37.5%
55%51.3%
60%65.0%
65%78.8%

7/4 is an odds-against price with an implied chance of 36.36%. Each winner pays 175.00 per 100. The fractional ladder steps up in quarters and halves here (9/4, 5/2, 11/4, 3/1), so small changes in the bookmaker's opinion show up as a move of one rung.

Converting 7/4 by hand

Divide the top of the fraction by the bottom and add one for the decimal price, 2.75. For the implied probability, divide the bottom by the sum of top and bottom: 36.36%. American odds follow from the decimal price: odds-against, so (2.75 − 1) × 100 gives +175. The same chance on a prediction market is a 36¢ share.

The vig at 7/4

With both sides of a two-way market at 7/4, implied probabilities would sum to -27.27% above 100%: a -37.50% margin on stakes. The fair price would be 2.00 decimal each side. Try other markets in the devig calculator.

7/4 on a betting exchange

On an exchange 7/4 is worth 2.715 decimal after 2% commission and 2.663 after 5%. Compare with the bookmaker before choosing where to bet.

Effective odds on an exchange
CommissionEffective decimalEffective AmericanBreak-even
2%2.715+17236.83%
5%2.663+16637.56%

Neighbouring rungs on the ladder

Fractional prices move in fixed rungs rather than smooth steps, so a bookmaker who wants to shorten 7/4 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 7/4; 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

  • 11/8 · 2.38 · 42.1%
  • 6/4 · 2.50 · 40.0%
  • 13/8 · 2.63 · 38.1%
  • 9/5 · 2.80 · 35.7%
  • 15/8 · 2.88 · 34.8%
  • 2/1 · 3.00 · 33.3%

Frequently asked questions

What does 7/4 mean in betting?

Fractional odds of 7/4 pay the top number in profit for every bottom number staked. A 100 stake wins 175.00 and returns 275.00. The implied probability is 36.36%.

What is 7/4 in decimal odds?

7/4 is 2.75 in decimal odds: divide the top by the bottom and add 1.

What is 7/4 in American odds?

7/4 converts to +175 in American odds.

Is 7/4 a good price?

A price is good only relative to the true chance. 7/4 implies 36.36%; 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.