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Understanding betting odds: fractions, decimals and the margin

Once you can turn a price into a probability, comparing betting sites becomes a matter of arithmetic rather than guesswork.

The price 5/2 shown as fractional, decimal 3.50 and 28.6 per cent implied chance

The two formats you will see in the UK

British betting sites traditionally show fractional odds, such as 5/2 or 11/4, and almost all of them let you switch to decimal odds in your account settings. Both describe exactly the same price. Fractions show your profit relative to your stake; decimals show your total return, stake included, for every one pound staked.

A 5/2 price means you win £5 profit for every £2 staked. A £10 bet returns £25 profit plus your £10 stake, a total of £35. In decimal format the same price is 3.50, because £10 multiplied by 3.50 gives £35. To convert fractional to decimal, divide the first number by the second and add one: 5 divided by 2 is 2.5, plus one makes 3.50.

Common UK prices in both formats with their implied probability
FractionalDecimalImplied probabilityReturn on £10
1/21.5066.7%£15.00
10/111.9152.4%£19.09
Evens2.0050.0%£20.00
6/42.5040.0%£25.00
5/23.5028.6%£35.00
4/15.0020.0%£50.00
10/111.009.1%£110.00

From price to implied probability

Implied probability is the chance of an outcome that a price suggests. For decimal odds, divide one by the price: 1 divided by 3.50 is 0.286, or 28.6%. For fractional odds, divide the second number by the sum of both numbers: for 5/2, that is 2 divided by 7, which also gives 28.6%.

This conversion is the most useful skill in betting. It lets you ask a simple question about any bet: do I think this outcome is more likely than the price implies? If you believe a team wins 45% of the time and the price implies 40%, the price looks generous by your estimate. If you think it is nearer 35%, the price looks poor.

Working out the bookmaker’s margin

Add up the implied probabilities for every outcome in a market. In a perfectly fair book the total would be exactly 100%. Real markets always total more, and the excess is the overround.

Take a tennis match with both players at 10/11. Each price implies 52.4%, so the book totals 104.8%. To express the margin as the share of stakes the operator expects to keep, divide the excess by the total: 4.8 divided by 104.8 is about 4.6%. Now imagine another site offering 20/21 on both players, which is 1.95 in decimal. Each implies 51.3%, the book totals 102.6%, and the margin falls to about 2.5%. Over hundreds of bets, that gap matters a great deal.

A quick rule of thumb

On two-way markets, a book under 104% is competitive and anything over 107% is expensive. On a three-way football match result, under 105% is good. Racing and specials markets usually carry much higher totals.

How each-way terms change the maths

An each-way bet splits your stake into a win bet and a place bet of equal size. If the win terms are 12/1 and the place terms are one fifth of the odds for four places, the place part pays at 12/5. A £5 each-way bet costs £10. If the horse finishes third, you lose the £5 win stake but the place bet returns £5 plus £12 profit, a total of £17.

Because the place fraction and the number of places vary between betting sites, two operators offering the same win price can offer very different each-way value. Compare both parts before you place the bet, especially in large handicap fields where extra places are sometimes offered.

Why prices move

Prices shift for two main reasons: new information, such as team news or going changes, and the weight of money placed by other customers. A price that shortens from 4/1 to 5/2 before an event suggests the market now rates that outcome more highly. Being aware of this helps you understand why a price you saw in the morning may not be available in the afternoon.

For a wider view of how odds fit into choosing a site, read our guide on how to compare betting sites. Remember that understanding odds does not remove the house edge; it simply helps you see what you are paying.

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