Fraction To Decimal Odds Conversion

• Converting Fractions To Decimals Worksheets
• Fraction Decimal Percent Conversion Worksheet

There are three main odds formats available to bettors; Fractional odds, Decimal odds and American odds. Fractional odds have historically beenused in the UK but Decimal odds are arguably the most popular format. How do you convert Fractional odds into Decimal or American? Read on to find out.

The Betrescue Odds Converter table converts decimal odds to fractional odds and vice version. Use our odds conversion table. Decimal - 1 divided by the decimal odds, multiplied by 100 to give a percentage e.g. Decimal odds of 2 = (1/2). 100 = 50%.; Fraction - 1 divided by (the fractional odds plus 1), multiplied by 100 to give a percentage. Fractional odds of 3/1 = (1 / ((3/1) + 1)). 100 = 25%.; American: Positive odds - 100 divided by (the american odds plus 100), multiplied by 100 to give a percentage e.g.

• To be able to convert from Fractional to Decimal odds you first have to enter a fraction (such as 5/2). Fractional odds are based on the amount of winnings you will receive for a certain stake. In the fraction, the second number is the stake and the first number, the profit you will make should your wager win.
• The simple formular to convert from fraction odds to decimal is to divide the numerator (top number) by the denominator (bottom number) and add 1. The 1 represents the returned stake which is included in the decimal odds but not in the fraction odds. Example 1: Odds of 2/1, will be 2 divided by 1, which gives 2, then add 1 equals 3.
• Convert the fraction to a decimal number The fraction bar between the top number (numerator) and the bottom number (denominator) means 'divided by.' So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4.

It might be obvious to most bettors but regardless of which odds format you use for a bet, the potential profit will always be the same - it is just how these odds are presented that differs.

Fractional odds, unsurprisingly, are displayed as fractions. American odds use a unique + and - system and Decimal odds, as you may have guessed, are displayed as decimals - the key difference is that Decimal odds always include the stake.

You can use our helpful bet calculator to work out the potential profit and return of your bet in any odds format, but knowing how to work this out for yourself is a critical part of understanding how odds work and ultimately, being able to calculate expected value.

Fractional odds to Decimal odds conversion

Converting Fractional odds into Decimal odds is fairly straightforward. Simply turn the fractional number into a decimal number by turning the fraction into its decimal equivalent and then, crucially, add one.

Here’s an example of how to convert Fractional odds into Decimal odds:

5/2 = 5/2 + 1 = 3.5

Decimal odds to Fractional odds conversion

If you are more comfortable with Fractional odds you can convert Decimal odds by reversing the formula above:

Decimal odds -1 and converted into a fraction = Fractional odds

3.5 – 1 = 2.5 which as a mixed fraction is 21/2 but in its more common improper form is 5/2.

Odds conversion chart

Fractional, Decimal and American odds conversion chart

Looking for odds that aren’t included in the odds conversion chart? Use Pinnacle’s odds converter.

Calculating profits with Fractional odds

Fractional odds originated within horse racing as a way to represent the return on the underlying probability. They shouldn‘t be confused with ratios. Although 3/1 or “three to one” make it easy for bettors to understand their profit in relation to the stake – your return is three times your stake - the more accurate and precise the odds are, the more complicated things become.

Odds expression (most commonly used in the UK) which presents odds in a fractional format.

The easiest way to calculate profits using Fractional odds is to view the fraction as Profit/Stake - so a $1 bet at 5/1 would result in $5 profit. However, the odds can be unfamiliar fractions (proper and improper) and your stake might not always be a whole number so the following equation should be used:

Returns = (Stake / denominator) x numerator) + stake

So if we use a $15 bet at odds of 5/2, the calculation would be as follows:

Calculating profits with Decimal odds

Decimal odds have become increasingly popular in recent years. Bettors are beginning to favour the simple, more accurate Decimal representation of a bet’s potential return, which includes the stake amount.

An odds expression (sometimes referred to as European odds) where the odds are shown in decimal format.

In order to calculate the return of a bet with Decimal odds, all you have to do is multiply your stake by the Decimal odds offered:

Stake x odds = returns

Therefore, a $10 bet at odds of 3.5 would return $35.

Decimal odds video explainer

Found this article useful? Why not check out our video that details Decimal odds.

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Convert odds between American, Decimal, and Fractional format using simple odds conversion formulas. Or, skip the math and use the odds converter instead!

Decimal to Fractional

Remove 1 from the decimal and convert to a fraction, then reduce to simplest form:

(decimal-1) -> convert to fraction

Examples:

1.75: 1.75 – 1 = .75 = 75/100 = 3/4
2.20: 2.20 – 1 = 1.20 = 120/100 = 6/5

Decimal to American

To convert a decimal of 2.00 or higher:

moneyline = (decimal – 1) *100

Examples:

2.00: (2.00 – 1)*100 = 1*100 = +100
3.35: (3.35 – 1)*100 = 2.35*100 = +235

To convert a decimal of less than 2.00:

moneyline = (-100) / (decimal -1)

Examples:

1.9091 : (-100)/(1.9091 – 1) = (-100)/(0.9091) = -109.99 = -110
1.6579 : (-100)/(1.6579 – 1) = (-100)/(0.6579) = -151.98 = -152

Fractional to American

Over 1/1: Convert Fraction to Decimal and multiply by 100.

Moneyline = (fraction value)*100

Examples:

7/4: (7/4) * 100 = (1.40) * 100 = +140
6/5: (6/5) * 100 = (1.20) * 100 = +120

Under 1/1: divide -100 by the Fraction as a Decimal.

Moneyline = -100/(fraction value)

Examples:

1/4: -100/(1/4) = -100/.25 = -400
1/10: -100/(1/10) = -100/.1 = -1000

Fractional to Decimal

Convert the fraction to a decimal and add one.

Examples:

3/4: (3/4) + 1 = (.75) + 1 = 1.75
6/5: (6/5) + 1 = (1.20) + 1 = 2.20

American to Decimal

Positive Odds (“+”): Divide the moneyline by 100 and add 1.

decimal = (moneyline/100) +1

Examples:

+100: (100/100) + 1 = 1 + 1 = 2.00
+235: (235/100) + 1 = 2.35 + 1 = 3.35

Negative Odds (“-“): Divide 100 by the moneyline, then add this value to 1.00.

decimal = (100/moneyline) + 1

Examples:

-110: (100/110) +1 = 1 + 0.9091 = 1.9091
-152: (100/152) +1 = 1 + 0.6579 = 1.6579

American to Fractional

Positive Odds (“+”): Divide the moneyline by 100 and reduce to simplest form

(moneyline/100) -> simplest form

Examples:

+120: (120/100) = 6/5
+250: (250/100) = 5/2

Negative Odds (“-“): Divide 100 by the moneyline and reduce to simplest form

(100/moneyline) -> simplest form

Examples:

-120: (100/120) = 5/6
-300: (100/300) = 1/3

Odds Converter

Converting Fractions To Decimals Worksheets

Skip the math and easily convert odds between Fractional, Decimal and American format:

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Fraction Decimal Percent Conversion Worksheet

Want to learn more? Read this full article on betting odds conversion.