Type any fraction and see it as a decimal and a percentage, simplified to its lowest terms. A quick helper for homework, cooking measurements and exam revision.
Fraction to Decimal & Percentage
Simplified fraction:
As a decimal:
As a percentage:
Read the full method in our guide: How to Convert a Fraction to a Decimal and a Percentage
How to use the Fraction to Decimal Converter
- Type the top number of the fraction (the numerator) into the first box.
- Type the bottom number (the denominator) into the second box.
- The decimal appears straight away, along with the same value as a percentage.
- If the fraction can be simplified — like 6/8 becoming 3/4 — the tool shows the simpler form too.
The formula
A fraction is a division sum waiting to happen. To turn it into a decimal, divide the numerator by the denominator: decimal = top ÷ bottom. So 3/4 is 3 ÷ 4 = 0.75.
To carry on to a percentage, multiply the decimal by 100: 0.75 × 100 = 75%. The numerator and denominator you enter are the inputs; the decimal and the percentage are the results, and all three forms describe the same amount. A percentage is really just a fraction with the denominator stretched to 100, which is why “per cent” means “out of a hundred”.
Quick conversion table
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333… | 33.3% |
| 2/5 | 0.4 | 40% |
| 5/8 | 0.625 | 62.5% |
Worked example
A recipe from an American cookbook asks for 3/4 of a cup of flour, and your measuring jug is marked in decimals. Divide 3 by 4 and you get 0.75, so you need the jug filled to the 0.75 mark — and as a percentage, that is 75% of a full cup. The same moves settle everyday questions: a test score of 18 out of 24 is the fraction 18/24, which simplifies to 3/4, which is 0.75, which is 75%. One value, four ways of writing it.
Common mistakes
- Dividing the wrong way up. Bottom ÷ top gives a number bigger than 1 for proper fractions — 4 ÷ 3 = 1.333 is not 3/4. Numerator first, always.
- Reading 0.75 as “75 out of 75”. The decimal 0.75 means 75 hundredths, which is why it matches 75%, not 75 out of 75.
- Assuming 1/3 is exactly 33%. 1/3 is 0.333…, repeating forever. 33% is a rounding of it; three lots of 33% only make 99%, which catches people out in money splits.
- Forgetting to simplify before comparing. 6/8 and 9/12 look different but both equal 3/4. Simplifying first makes fractions easy to compare at a glance.
Frequently asked questions
Q: How do I turn a decimal back into a fraction?
Write it over its place value, then simplify. 0.625 is 625/1000, and dividing top and bottom by 125 gives 5/8.
Q: What does it mean when the decimal never ends?
Fractions like 1/3 give 0.333…, repeating forever. For everyday use, round to two or three decimal places (0.33 or 0.333) and note that it is approximate.
Q: Can the result be bigger than 1?
Yes — when the numerator is larger than the denominator, like 7/4. That is 7 ÷ 4 = 1.75, or 175%, the same as one whole and three quarters.