The odds converter tool in this page will convert odds from any of the three main formats into the other formats.
It will also calculate the relevant implied probability too.
To use it, simply enter the odds you wish to convert in the appropriate box, and then click the “Convert Odds” button. It’s as easy as that!

• American Gambling Odds Against
• American Gambling Odds Real Money
• Betamerica Odds

Positive odds - 1 plus (the american odds divided by 100) e.g. American odds of 300 = 1 + (300/100) = 4. Negative odds - 1 minus (100 divided by the american odds) e.g. American odds of -300 = 1 - (100/-300) = 1.333. How do you convert american odds to fractional? Betting Odds Explained. American Odds – American Odds are the default odds format at most US friendly betting sites as well as Nevada sports books. Here odds are expressed as either a negative or a positive number. When positive the odds represent how much a player will profit on a successful $100.00 wager.

If you came to this page specifically looking for a tool to
convert odds, then it’s likely that you already have a
fundamental understanding of what odds are and how they work in
relation to sports betting. If this is a subject that you’re not
particularly familiar with, however, then you might want to read
the following article from our beginner’s guide to sports
betting.

Overview of Different Odds Formats

If you live in the United States, then simply knowing the
moneyline odds will suffice, as this is the primary format used
by the limited number of gambling sites available for US
residents. Likewise, if you live in the United Kingdom, then you
only really need to know how fractional odds work. If you live
in Europe, then the decimal format is the one that will be most
important for you to understand.

With all that being said, it’s still a good idea to be
familiarized with how each format works. Many online betting
sites will allow you to choose the format that their odds are
displayed in. Please keep in mind that the conversation may
round in their favor.. For example, most US friendly sites offer
moneyline odds of -110 when betting points spreads. If you
choose to bet in the decimal format instead, then you’ll often
be given odds of 1.90. The true conversion is 1.9091 though, so
you’ll potentially lose a small percentage of your winnings if
you bet based on their conversion.

Therefore, it can be an advantage to use the primary format
offered by an online bookmaker, which is why it pays to make
sure you understand each of the different formats. We’ve
explained them all below for you.

American Odds/Moneyline Odds

Odds in this format are expressed as either a positive number
or a negative number. When they are a positive number, the
number represents how much in winnings is paid per $100 staked.
The following examples illustrate how positive moneyline odds
work.

When they are a negative number, the number represents the
amount of money that needs to be staked in order to win $100.
The following examples illustrate how negative moneyline odds
work.

Please see our article on calculating payouts from moneyline
odds for details on how to work out the potential winnings from
wagers using this format.

Decimal Odds

This is the most popular odds format outside of the United
States and is sometimes referred to as European odds. It’s a
very simple format where the odds are expressed as a single
positive number, usually to two decimal places. This number
states how much a winning bet returns (including the initial
stake) for each unit wagered. The following examples illustrate
the decimal format in practice.

Our article explaining how to calculate payouts from decimal
odds will teach you how to work out the potential returns from
wagers placed using this format.

Fractional Odds

Fractional odds are mostly used in the UK, but lately the
decimal format has been becoming more popular. Odds in this
format are displayed as a fraction, as the name suggests. The
first number of the fraction shows how much you can win per the
second number staked. This sounds more complicated that it
actually is and the easiest way to understand this format is
simply to look at some examples.

Please note that when the second number of the fraction is
higher than the first, it means the odds are less than even
money. This is referred to as odds on (as opposed to odds
against), and is the equivalent of when moneyline odds are a
negative number or when decimal odds are a number less than 2.

Odds Conversion Math

Our conversion tool is the easiest way to change odds between
formats but there will be times when you don’t have access to
it. When you’re at a Las Vegas sportsbook or a high street
bookmaker, you may need to be able to do these conversions in
your head. For this reason, we’ll run through the math required
to convert each format into all of the other formats.

Converting Moneyline Odds

To Decimal

The calculations required to convert from moneyline odds
changes depending on whether the odds are positive or negative.
To convert positive odds into decimal odds, the following
calculation is required.

Example: Converting +175

(+175 + 100) / 100 = 2.75

For negative odds, we ignore the minus symbol and use the
following formula.

Example: Converting -110

(110 + 100) / 110 = 1.909

To Fractional

When converting from the moneyline format into the fractional
format, the calculations again depend on whether the odds are
positive or negative. To convert positive odds, you simply
create a fraction by putting the relevant number over 100 and
then simplifying the fraction if possible.

300/100 is simplified to 3/1

To convert negative odds, you create a fraction by putting
100 over the relevant number (ignoring the negative sign).
Again, you then need to simplify the fraction if possible.

100/110 is simplified to 10/11

Converting Decimal Odds

To Moneyline

The method required to convert the decimal format over to the
moneyline format is dependent on whether the odds are greater
than 2.0 or not. We’ll look at how to convert odds of 2.0 or
less first. To start with, you have to carry out the following
calculation.

After doing this calculation, the odds are rounded and a
negative sign must be added.

100 / (1.95 – 1) = 105.25

To convert odds of greater than 2.00, you must start with the
following calculation.

To convert odds of greater than 2.00, you must start with the following calculation.

You then add a positive sign to the result, as shown in this
example.

(2.45 – 1) x 100 = 145

Positive sign added = +145

To Fractional

The first step in converting from decimal to fractional
format is to create a fraction by using the formula.

This will often create a fraction that includes a decimal,
which isn’t a proper fraction. To overcome this, the next step
is to multiply both sides of the fraction by 100. Finally, the
fraction needs to be simplified. The following example
illustrates this better than any written explanation can.

(1.45 – 1) / 1 = 0.45/1

Multiply both sides by 100 = 45/100

Simplified = 9/20

Converting Fractional Odds

Before we get into the math involved here, you need to
understand the terms numerator and denominator. In this context,
the numerator is the first number in the fraction and the
denominator is the second number in the fraction. With odds of
2/1, for example, 2 is the numerator and 1 is the denominator.

To Moneyline

There are two methods needed for converting from the
fractional to the moneyline format. The first is for when the
numerator is greater than the denominator. The following formula
needs to be used in the beginning.

A positive sign then needs to be added to create the
moneyline odds, as per the following example.

(6 / 4) x 100 = 150

Positive sign added = +150

The second method is for when the denominator is larger than
the numerator. In these cases, the following formula needs to be
used.

A positive sign then needs to be added to create the correct
moneyline odds. This is illustrated in the following example.

100 / (2 / 5) = 250

Negative sign added = -250

To Decimal

Converting odds from the fractional format to the decimal
format is relatively simple and it requires just the following
formula.

(11 / 10) + 1 = 1.10

Implied Probability Explained

Implied probability in relation to sports betting is
basically the implication of the odds as it relates to the
chances of an outcome happening. We’ll cover this in more detail
shortly, but first let’s look at how to calculate it. It’s
easiest to determine implied probability from odds in the
decimal format, using the following simple formula.

What this example shows us is that the implied probability of
2.50 odds is 0.40 (or 40% if expressed as a percentage). This
means that odds of 2.50 on any possible outcome imply that the
chance of that outcome happening is roughly 40%. So if, for
example, a tennis player is at 2.50 to win an upcoming match,
the implication is that he has a 40% chance of actually winning
that match.

You can read more about implied probability in this article on probability in sports betting. The article also
covers expected value, which is a related topic that you should definitely learn about if you want to be a
successful bettor.

Understanding Vig

When looking at the odds set by bookmakers, it’s important to
recognize that implied probability is rarely an entirely
accurate reflection of the real chances of a wager winning. This
is because bookmakers always try to set the odds at levels that
are lower than they actually should be in relation to real
probability. If their view was that a soccer team had a 60%
chance of winning a match, for example, they wouldn’t offer odds
that exactly reflected that chance. Their odds would be lower,
as this is how they make money successfully.

By reducing the odds relative to the probability of an
outcome happening, bookmakers effectively charge a commission
for every wager they take. This commission is known as vig,
which is short for vigorish. It can also be referred to as the
overround or juice. It’s similar in some respects to the house
edge in casino games and it’s basically what gives the
bookmakers an advantage over their customers.

What sets the bookmakers’ advantage apart from the casinos’
advantage is that, unlike the house edge, it can be overcome. In
order to overcome it, though, you first need to understand
exactly how vig works and the effect it has in sports betting.
You should visit our page on the subject of how bookmakers make
money, as this is all about the methods that bookmakers use to
ensure they are profitable. Charging vig is one of these methods
that we explain thoroughly.

You can convert between Decimal, Fractional, and American odds using BettingPremier’s simple odds converter calculator. You can also convert to and from Implied Probability. Just enter a value in any one of the fields and the value will be automatically converted to other formats.

Betting Odds Conversion Table

What is Decimal odds?

Decimal odds quote how much money you will receive if you win, relative to the stake. This type of odds is the most popular due to its simplicity. To calculate the potential return, simply multiply the stake with the odds.

For example, if you place a bet of $5 at odds of 3.0 you will get $15 in return which includes the original stake. The formula to calculate the return is Stake x Odds = Payout.

Most online Bookmakers use Decimal odds as default odds format. Due to its popularity in Europe, Decimal odds are also called as European odds.

What is Fractional odds?

Fractional odds quotes how much profit you will get if win the bet, relative to the stake. Fractional odds are popular in the UK and also in Horse Racing. But this type is relatively unpopular when it comes to online betting.

The formula to calculate the return in fractional odds is ((Stake /denominator) x numerator ) + stake.

For example, if you bet $10 at 2/1 odds then you will get a profit $20. The total return will be $30 (($10 / 1) x 2) + $10). But if you bet $10 at 1/2 odds then the profit will be $5 and the total return will be $15.

The Factional odds are also known as British odds or Traditional odds.

What is American odds?

American odds are also known as Moneyline odds and it is mostly used by bookmakers in the US. There are two variants in this type of odds. They are positive odds and negative odds.

• The positive odds are used to represent the underdog. The positive figure tells how much money you will get if you bet $100. For example, odds of +900 will give you $900 profit on a $100 bet.
• The negative odds are used to represent the favorite. The negative figure indicates how much money you have to bet to win $100. For example, in odds of -500 you have to wage $500 to win $100.

In American odds, if two teams are evenly matched then both of them will have a negative figure (like -110 -105).

Odds conversion complete guide

In the various sections below, we have taken odds of 4 different matches as an example and converted odds given in one format to all other formats and also to implied probability.

How to convert from Decimals odds?

Consider an example: A betting site has fixed decimal odds of 1.40 for Lazio to win over Empoli. Find the conversion of the Decimal Odds 1.40 to its other formats with the formulas and explanations below.

Converting Decimal odds to Fractional odds

The decimal format is the most common format used by the bookmakers. In order to know the converted fractional format of it, a simple calculation of Odds – 1 has to be performed, with the resulting value reduced to its lowest form is the fractional format of the odds.

Formula:

Odds-1 = Outcome

Multiply and divide by 10/100/1000 and reduce to its simplest form

Example:

Outcome = 1.40 – 1 => 0.40

=> [(0.40 *100) /100]

=> 40/100

=> 2/5

Converting Decimal odds to American odds

Since the American Odds are categorized into two, it is important to check whether the odds satisfy any of the two criteria listed below. If the odds are greater than or equal to 2, then 1 is reduced from the odds and multiplied with 100. If the odds are less than 2, then -100 is divided by the odds-1 value and gives the outcome.

Formulas:

>=2.00 –> (odds-1)*100 = Outcome

<2.00 –> [(-100)/ (odds-1)] = Outcome

Example:

According to the considered example, 1.40 is less than 2 and therefore the second formula has to be used.

<2.00 –> [(-100)/ (odds-1)] = Outcome

Outcome = [(-100)/ (1.40-1)]

=> [(-100)/ 0.40]

=> -250

If the value was 3.42, which is greater than 2.00, the first formula should be applied as follow:

>=2.00 –> (odds-1)*100 = Outcome

Outcome = [(3.42-1)* 100]

=> 2.42*100

=> 242

Converting Decimal odds to Implied Probability

In order to convert decimal odds to the implied probability, a simple formula of 1 divided by the odds and then multiplied by 100 gives the expected outcome.

Formula:

[(1/odds)*100] = Outcome

Example:

Outcome = [(1/1.40)*100]

=> 0.7142*100

=> 71.4%

How to convert from Fractional odds?

Let us consider the Real Madrid vs Valencia match, in accordance with a betting site the odds fixed for Real Madrid to win the match is 7/1 in fractional odds. The converted odds of Real Madrid to win the match in various formats are explained with the help of formulas below:

Converting Fractional odds to Decimal

The fractional odds are also used by many sites and are sometimes complex to understand. In order to convert the fractional odds to decimal odds, the (numerator value is divided by the denominator value) and later 1 is added to it to get the final result.

Formula:

Divide Numerator by Denominator [(N/D) +1] = Outcome

Example:

Outcome = [(7/1) +1]

=> 7+1 = 8

=> 8.00

Converting Fractional odds to American odds

The American odds have two formulas in order to find the positive and negative odds from the fractional odds. Before performing the calculations, check whether the fixed odds come under the first category or the second. The odds that are over 1/1 is calculated as follow: (numerator value divided by denominator) and further multiplied by 100. For the odds under 1/1, -100 is divided by (numerator divided by denominator).

Formulas:

Over 1/1 –> [(N/D) *100] = Outcome

Under 1/1 –> [-100/ (N/D)] = Outcome

Example:

With the 7/1 odds fixed for Real Madrid, it is clear that the odds is over 1/1 and hence the first formula has to be chosen.

Over 1/1 –> [(N/D) *100] = Outcome

Outcome = [(7/1)* 100]

=> 7*100

=> 700

Under 1/1 –> [-100/ (N/D)] = Outcome

Suppose the odds was 1/6, which is under 1/1, then this formula should be used to find the American odds of the given fractional odds.

Outcome = [-100/ (1/6)]

=> [-100/0.1667]

=> -599.88

=> -600

Converting Fractional odds to Implied Probability

The conversion of fractional odds to the implied probability is very simple that can be done as the Denominator divided by (Denominator + Enumerator), which is later multiplied by 100.

Formula:

{[D/ (D+N)] *100} = Outcome

Example:

Outcome = {[1/ (1+7)] *100}

=> [1/8] *100

=> 0.125 *100

=> 12.5%

How to convert from American Odds?

Under this American Odds to Other Formats section, each format will have two types, as the American odds have two values, favorites and underdogs.

Let us take an example of the Borussia M’gladbach vs Leipzig match for which a betting site has fixed -140 (favorites) for Leipzig and +120 (underdogs) for M’gladbach. Find out the formats of the fixed odds:

Converting American odds to Decimal

As the American Odds have two types, there are two methods to convert them into decimal form. For positive odds, the odds are divided by 100 and 1 is added to it. For negative odds, 100 is divided by the odds and 1 is added to it.

Formulas:

+odds –> (odds/100) +1 = Outcome

-odds –> (100/odds) +1 = Outcome

Examples:

+odds –> (odds/100) +1 = Outcome

Outcome = (120/100) +1

=> 2.2

-odds –> (100/odds) +1 = Outcome

Outcome = (100/140) +1

=> 1.71

Converting American odds to Fractional

The positive odds has to be divided by 100 and further reduced to its lowest form to get the final result, whereas for the negative odds 100 has to be divided by the odds and further reduced to its lowest form.

Formulas:

+odds –> odds/100 = Outcome

Multiply and divide by 10/100/1000 and reduce to its simplest form

-odds –> 100/odds = Outcome

Multiply and divide by 10/100/1000 and reduce to its simplest form

Examples:

+odds –> odds/100 = Outcome

Multiply and divide by 10/100/1000 and reduce to its simplest form

Outcome = (120/100)

=> 6/5

-odds –> 100/odds = Outcome

Multiply and divide by 10/100/1000 and reduce to its simplest form

Outcome = (100/140)

=> 5/7

Converting American odds to Implied Probability

In order to get the implied probability, for the positive odds 100 has to be divided by (the odds added with 100) and at last multiplied by 100, while for the negative odds, after converting the negative odds into positive, the odds are divided by the (odds added with 100) and later multiplied with 100.

Formulas:

+odds –> [100/ (odds+100)] *100 = Outcome

-odds –> {[-(-odds)] / [-(-odds) +100]} *100 = Outcome

Examples:

+odds –> [100/ (odds+100)] *100 = Outcome

Outcome = [100/ (120+100)] *100

=> [100/ 220] *100

=> 0.4545 *100

=> 45.5%

-odds –> {[-(-odds)] / [-(-odds) +100]} *100 = Outcome

In this conversion, the negative value has to be converted into a positive number

Outcome = {[-(-140)]/ [-(-140) +100]} *100

=> [(140)/ (140 +100)] *100

=> 0.5833*100

=> 58.33

How to convert Implied Probability to Odds

Implied probability represents the likely would of the expected outcome in percentage. Converting the odds to implied probability helps a wager to understand the probability of the outcome.

Let us consider the match between Manchester City and Chelsea in which a betting site offers 64.4% chances for Chelsea to beat Manchester City.

The conversion of the Implied Probability of 64.4% to its other formats is explained with the formula below.

Getting Decimal odds from Implied Probability

After knowing the implied probability, the next step is to know which odds are in favor of the wager. To convert the probability into decimal odds, 1 is divided by the probability and the resulting value is the outcome.

Formula:

1/probability = Outcome

Example:

Outcome = [1/ (64.4/100)]

=> (1/0.644)

=> 1.55

Getting Fractional odds from Implied Probability

In order to get the fractional odds from the implied probability, 1 is divided by the probability and further 1 is reduced from the output which gives the outcome represented in the form of a fraction.

Formula:

[(1/probability)-1] = Outcome

Example:

Outcome = {[1/ (64.4/100)] -1}

=> [(1/0.644)-1]

=> 0.55

Getting American odds from Implied Probability

American Gambling Odds Against

As the American odds involve two representations, two criteria have been fixed for the probability to American odds conversion. Before proceeding with the conversion, it is important to if the probability is less than or equal to 0.5 or greater than 0.5 by dividing the value by 100.

For odds less than or equal to 0.5, (1 minus the probability) is divided by the implied probability and the output is further multiplied with 100. If the odds are greater than 0.5, then the probability is divided by (1 minus probability) and the resulting output is multiplied with 100 to get the final outcome.

Formulas:

<=0.5 –> [(1-probability)/ probability]*100 = Outcome

>0.5 –> [probability/ (1-probability)]*100 = Outcome

Example:

In this case, the value is 0.644 (64.4/100). 0.644 is greater than 0.5 and hence the second formula has to be used.

>0.5 –> [probability/ (1-probability)]*100 = Outcome

Outcome = {(64.4/100) /[1-(64.4/100)]}*100

=> [0.644/ (1-0.644)]*100

=> -180.89

=> -181

<=0.5 –> [(1-probability)/ probability]*100 = Outcome

American Gambling Odds Real Money

If the implied probability was 44.4%, then this formula should be used as the probability will be 0.444 and the calculation will be as follow

Outcome = [1-0.444/ 0.444]*100

=> +125.22

=> +125

How do the Bookmakers fix the odds?

The bookmakers fix the odds of the matches based on an ensured profit for them. While converting odds to percentages it is to be noted that there is always a bookmaker percentage inbuilt into the deal.

This can be very well explained with an example. Consider the Liverpool vs Manchester United match. The odds fixed are:

Betamerica Odds

• Liverpool: 1.61
• Manchester United: 5.00
• Draw: 4.00

If we calculate the odds to its respective probabilities on each of the three outcomes for the match, it will not total 100%.

The probability will be more than 100%. In the above scenario, the converted probability is 107.1%. Most of the totals are range from 103% to 110%, which is said to be the margin that the bookmakers earn as profits per match.