Education

Decimal, Fractional & American Odds Explained

Three ways of writing the same number. Here's how each format works, how to convert between them, and how to figure out the implied probability — the only number that really matters.

By the Zort team · 6 min read · Updated 19 April 2026

The three formats side by side

Every odds line is saying the same thing: "if you stake £X and win, you get £Y back." The formats just differ in whether they show total return, profit ratio, or a US dollar reference.

Event probabilityDecimalFractionalAmerican
10% (10/1 shot)10.009/1+900
20% (4/1 shot)5.004/1+400
25%4.003/1+300
33.3%3.002/1+200
40%2.506/4+150
50% (coin flip)2.001/1 (evens)+100
60%1.674/6−150
66.7%1.501/2−200
75%1.331/3−300
80%1.251/4−400
90% (heavy fav)1.111/9−900

Decimal odds

The cleanest format — what your total return is per £1 staked, stake included.

Total return = stake × decimal odds
Profit = stake × (decimal odds − 1)

Odds of 2.50 mean £1 returns £2.50 (£1.50 profit + £1 stake). Odds of 1.91 (standard bookmaker-margin coin flip) return £1.91 per £1 — so £0.91 profit.

Why decimal is easier

It's one number, and higher always means bigger payout. Comparing 2.10 vs 2.15 is instant. Comparing 11/10 vs 23/20 requires a calculator. Decimal is the default format in most of the world and the only format pros use internally — even in the US and UK where fractional/American are public-facing.

Fractional odds

Traditional in the UK and Ireland, especially horse racing. Shows profit as a ratio of stake, not total return.

Profit = stake × (numerator ÷ denominator)
Total return = profit + stake

Odds of 5/2 mean £5 profit for every £2 staked. £2 in → £7 back (£5 profit + £2 stake). Odds of 11/10 mean £11 profit on £10 staked.

Conversion to decimal: divide numerator by denominator, add 1. 5/2 = 2.5 + 1 = 3.50. 11/10 = 1.1 + 1 = 2.10.

American (moneyline) odds

The default in US sportsbooks. Uses + and − with a $100 reference.

Positive (+): profit on a $100 stake
Negative (−): stake needed to win $100

+200 → $200 profit on a $100 bet. −150 → bet $150 to win $100.

The dividing line is evens (2.00 decimal / 1/1 fractional). Anything more likely than 50% gets a negative number; anything less likely gets a positive number.

Conversion to decimal:
• Positive: (American ÷ 100) + 1 — e.g. +200 → 3.00
• Negative: (100 ÷ |American|) + 1 — e.g. −150 → 1.67

Implied probability — the number that actually matters

Every set of odds has an implied probability: the win-rate you'd need to break even. It's the only honest way to compare "is this bet good value?"

Implied probability = (1 ÷ decimal odds) × 100%

Odds of 2.50 → 1 ÷ 2.50 = 40%. You need to win more than 40% of these bets to profit.

Bookmakers bake a margin (the "vig" or "overround") into every line. A "coin flip" priced 1.91 / 1.91 on both sides implies 52.4% + 52.4% = 104.7% total — that 4.7% overage is the bookmaker's edge. Skilled bettors track odds movement and look for moments when the true probability is higher than the implied.

Which format should you use?

Whichever your bookmaker shows — then convert mentally to decimal to compare value across books. Most tracker apps (including Zort) store odds internally in decimal and convert to your preferred display format. That way a 3/1 bet from William Hill and a +300 bet from DraftKings are recognised as the same price.

Automatic odds conversion in Zort

Zort's AI bet slip scanner reads odds in any format — decimal from European sportsbooks, fractional from UK slips, American from US sportsbooks — and stores them consistently so your analytics aren't skewed by format. Set your display preference once; every bet shows in your chosen format. Zort Pro adds odds-range analytics so you can see exactly which price range is profitable for you.

Stop doing math on every bet slip

Zort scans any odds format, stores them in decimal internally, and displays in your preference. Free forever.

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