How can fractional odds be quickly converted to decimal odds? How can American odds be converted to decimal odds?

Question

Accepted Answer

1. Fractional odds (Fractional odds)


	Where popular: The United Kingdom and Ireland.
	Format: Expressed as fractions, for example, 5/2 or 10/1.
	How they work: The first number shows how much you can win if you bet an amount equal to the second number. For example, odds of 5/2 mean that for every 2 units staked, you will receive 5 units in profit. If you bet 2 dollars at odds of 5/2 and the bet wins, you will receive 5 dollars in winnings plus your returned 2-dollar stake, for a total of 7 dollars.


2. Decimal odds (Decimal odds)


	Where popular: Europe, Russia, Canada, Australia, New Zealand.
	Format: Presented as decimal numbers, for example, 1.50, 2.75 or 10.00.
	How they work: To find the total payout (including the returned stake), multiply the stake by the decimal odds. For example, odds of 2.75 mean that if you bet 10 dollars, your total payout will be 10 × 2.75 = 27.5 dollars (17.5 dollars — net winnings, 10 dollars — returned stake).


3. American odds (Moneyline odds)


	Where popular: The USA.
	Format: Presented with positive or negative numbers, for example, +150 or -200.
	How they work:
	
		Negative odds: Show how much you need to bet to win 100 dollars. For example, odds of -200 mean that you need to bet 200 dollars to win 100 dollars in net winnings. The total payout will be 300 dollars (100 dollars in winnings plus 200 dollars staked).
		Positive odds: Show how much you can win if you bet 100 dollars. For example, odds of +150 mean that a 100-dollar bet will bring 150 dollars in net winnings. The total payout will be 250 dollars (150 dollars in winnings plus 100 dollars staked).
	
	


Comparison example:


	Fractional odds of 2/1 mean that you will receive 2 dollars in net winnings for every 1 dollar staked.
	Decimal odds of 3.00 mean that your total payout will be 3 times the stake (net winnings of 2 dollars per 1 dollar staked).
	American odds of +200 mean that a 100-dollar bet will bring you 200 dollars in net winnings.


Comparison for one outcome:


	Fractional odds: 2/1.
	Decimal odds: 3.00.
	American odds: +200.


All three systems show the same thing — doubling your stake when the bet wins, but with different approaches to calculation and presentation of information.

 

Odds conversion formula:

Decimal odds=Fractional odds+1, 

Where fractional odds are written as a fraction A/B, where:


	A — is the numerator,
	B — is the denominator.


Example: If the fractional odds are 5/2, the decimal odds will be:

Decimal odds = 5/2 ​+ 1 = 2.5 + 1 = 3.5

Converting American odds to decimal odds

There are two formulas, depending on whether the American odds are positive or negative.


	
	If the American odds are positive (+X):
	Decimal odds = 1+X/100

	Example: American odds of +150:
	Decimal odds=1+150/100 = 1 +1.5 = 2.5 


 


	
	If the American odds are negative (−X):
	Decimal odds = 1+100/X 

	Example: American odds of −200:
	Decimal odds=1+100/200=1+0.5 = 1+0.5 = 1.5


Summary:


	For fractional odds, 1 is added to the result of the fraction.
	For positive American odds, divide them by 100 and add 1.
	For negative odds, divide 100 by the absolute value of the odds and add 1.