Slatery field notes / sports research / guided learning

American, decimal and fractional odds explained

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One price, three ways to write it

01American+150

$150 profit on a $100 stake

02Fractional3/2

$3 profit for each $2 staked

03Decimal2.50

$2.50 total return for each $1 staked

Invented equivalent odds for a simple win-or-lose example, before fees or commission.

The format changes. The underlying payout ratio stays the same.

1
THE IDEA

Profit and total return are different amounts.

You see +150 on one page, 3/2 on another and 2.50 on a third. They can all describe the same price. The display looks different because each format tells you the payout in a different way.

Start with the distinction between profit and total return. Profit is the amount gained beyond the stake. Total return includes the original stake coming back as well. Mixing those amounts is a common reason two equivalent prices look unequal.

This lesson uses invented prices for a simple win-or-lose example. No pushes, voids or separate fees are included. The formats explain an offer's payout; they don't tell you whether the underlying outcome is likely enough to make it worthwhile.

2
WORKED EXAMPLE

Follow one $100 stake through the payout.

At decimal odds of 2.50, multiply a $100 stake by 2.50. The total return on a win is $250. Of that, $100 is the original stake and $150 is profit.

Fractional odds of 3/2 describe the profit ratio: three units of profit for every two units staked. A $100 stake gives $150 profit because 100 multiplied by three divided by two is 150. Add the returned $100 stake to reach the same $250 total.

You can use a smaller hypothetical stake without changing the relationship. At 2.50 or 3/2, a $20 stake would return $50 in total on a win, including $30 profit. The price is a ratio, not a required staking amount.

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Where the $250 return comes from

Returned stake

The original amount comes back

$100
Profit

$100 ร— 3/2

$150
Total return$250

$100 stake + $150 profit

Invented $100 stake at equivalent 2.50 decimal or 3/2 fractional odds. A winning settlement is assumed solely to explain the payout.
3
READ THE PRICE

The American sign changes how you read it.

Positive American odds describe profit on a $100 stake. At +150, that is $150 profit if the outcome wins. Negative American odds describe how much stake is needed to make $100 profit. At โˆ’200, that relationship is $200 stake for $100 profit.

The number doesn't require you to stake exactly $100 or $200. At โˆ’200, a hypothetical $20 stake would make $10 profit on a win, with $30 total returned. That is equivalent to decimal 1.50 or fractional 1/2.

Keep the minus sign visible. Reading โˆ’200 as +200 would describe a very different payout. The absolute size of an American number isn't enough to interpret it without the sign.

Read the pictureSlatery learning

Same stake, different invented prices

01+150 = 2.50 = 3/2$50total return

$20 stake plus $30 profit

02โˆ’200 = 1.50 = 1/2$30total return

$20 stake plus $10 profit

Hypothetical $20 stake and winning settlement; no fees or commission.
4
PUT IT TO USE

Convert the format before comparing offers.

If two displays use different formats, turn both into decimal odds or another shared format. Then compare the same outcome, market and settlement rules. A matching price doesn't make two different events equivalent.

Check the timestamp too. A screenshot may show a price that no longer exists. Keep the provider and quote time attached when recording a comparison, and account for separate fees where relevant.

The useful habit is simple: name the format, identify whether it shows profit or total return, and work through one payout. Once that relationship is clear, the changing symbols stop getting in the way of the research.

Sources and further reading