100% free · Runs 100% in your browser · Fractions to decimals, simplified · No signup needed
To convert a fraction to a decimal, divide the numerator by the denominator. A fraction repeats forever when its simplified denominator has a prime factor other than 2 or 5 — 1/3 = 0.3333… at any precision.
Try an example: 3/4 → 0.75 · Try an example: 22/7 → 3.142857 at 6 dp
| Fraction | Decimal | Repeats? |
|---|---|---|
| 1/2 | 0.5 | No — terminates |
| 1/4 | 0.25 | No — terminates |
| 3/4 | 0.75 | No — terminates |
| 1/8 | 0.125 | No — terminates |
| 1/3 | 0.3333… | Yes — repeats |
| 2/3 | 0.6667… | Yes — repeats |
| 1/6 | 0.1667… | Yes — repeats |
| 22/7 | 3.142857… | Yes — repeats |
Fractions appear everywhere, from recipes and measurements to school maths and engineering, but decimals are often easier to use in calculations. The Fraction to Decimal Converter from FistHost turns any fraction into a decimal instantly. Type in a numerator and a denominator, choose how many decimal places you want, and the answer appears right away, along with the simplified form of your fraction.
The tool is free, runs entirely in your browser, and needs no sign-up. Whether you are a student checking homework, a cook scaling a recipe, or a builder converting measurements, this converter gives you a fast and accurate answer every time.
A fraction to decimal converter takes a fraction, which is one number divided by another, and shows the result as a decimal number. The top number of a fraction is called the numerator and the bottom number is called the denominator. To convert a fraction to a decimal, you simply divide the numerator by the denominator.
For example, 3/4 means 3 divided by 4, and the answer is 0.75. The fraction 1/2 means 1 divided by 2, and the answer is 0.5. Some fractions give a neat, exact decimal like these. Others keep going forever, and those need rounding, which this tool handles for you.
Converting a fraction by hand is simple in theory: divide the numerator by the denominator. In practice, the division can be long and easy to get wrong, especially with large numbers or repeating decimals. This tool does it in one step.
That is the whole process. There is no waiting, no sign-up, and no limit on how many conversions you can do.
The following examples were checked carefully, so you can trust them as reference points when you use the tool.
| Fraction | Decimal | Notes |
|---|---|---|
| 3/4 | 0.75 | Exact, terminates after two places |
| 1/2 | 0.5 | Exact, one decimal place |
| 1/3 | 0.3333 | Repeating, shown to 4 decimal places |
| 22/7 | 3.142857 | Repeating, shown to 6 decimal places |
The fraction 3/4 equals 0.75 exactly, because 3 divided by 4 is 0.75 with nothing left over. The fraction 1/3 is different. It equals 0.3333 when shown to 4 decimal places, but the threes actually continue forever, which is why the tool rounds it at the precision you choose. The fraction 22/7 is a famous approximation of pi, and it equals 3.142857 when shown to 6 decimal places.
These examples show the two kinds of decimal a fraction can produce. A terminating decimal stops, like 0.75 or 0.5. A repeating decimal goes on forever, like 0.3333, and must be rounded for display.
Understanding the difference between terminating and repeating decimals helps you read the converter output correctly and choose the right precision.
A terminating decimal ends after a finite number of digits. Fractions with denominators made only of 2s and 5s, such as 2, 4, 5, 8, 10, and 20, always produce terminating decimals. That is why 1/2 is 0.5, 1/4 is 0.25, 1/5 is 0.2, and 3/4 is 0.75. These answers are exact, and no rounding is needed.
A repeating decimal never ends. Fractions with denominators that contain other prime factors, such as 3, 6, 7, or 9, usually produce repeating decimals. The fraction 1/3 is 0.3333 and the threes never stop. The fraction 1/6 is 0.1666 and the sixes never stop. The fraction 22/7 is 3.142857 and its digits repeat in a longer cycle. For these fractions, the tool rounds the answer at the precision you choose, and it tells you that the decimal repeats so you are never misled into thinking the rounded value is exact.
Here is the honest label for this tool, and it is important. Repeating decimals are rounded at the chosen precision. The tool says so plainly, and it means that the full value is used for the calculation, not the rounded display. When you see 1/3 shown as 0.3333, the tool has not claimed that 1/3 is exactly 0.3333. It has shown you the value rounded to 4 decimal places, while keeping the full repeating value behind the scenes.
If you need more accuracy, choose 6 decimal places instead of 2 or 4. The extra digits bring the display closer to the true value. For most everyday uses, 2 decimal places are enough, and for schoolwork, 4 decimal places are usually the standard. The choice is yours, and the tool makes it easy to change.
Some fractions come up so often that it helps to know their decimals by heart. The tool includes a common-fractions table with 1/2, 1/4, 3/4, and 1/8, and here are the values to remember.
| Fraction | Decimal | As a Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/8 | 0.125 | 12.5% |
| 1/3 | 0.3333 | 33.33% |
| 2/3 | 0.6667 | 66.67% |
| 1/5 | 0.2 | 20% |
| 1/10 | 0.1 | 10% |
Notice that the percentage column is simply the decimal multiplied by 100. That is a handy shortcut. If you need to work with percentages as well, the Percentage Calculator handles percentage problems directly, and the Ratio Calculator is the right tool when you are comparing two quantities as a ratio instead of a fraction.
Converting fractions to decimals is a skill that shows up in daily life far more often than most people expect. In the kitchen, a recipe that calls for 3/4 of a cup is easier to scale when you know it is 0.75 of a cup, especially if you are doubling or halving the recipe. In the workshop, a measurement of 1/8 of an inch becomes 0.125 inches on a digital caliper. In the classroom, fractions and decimals are two ways of writing the same value, and being able to move between them is a core maths skill.
Students benefit most of all. Homework often asks for a fraction as a decimal, and a converter lets you check your answer in seconds. The trick is to try the division yourself first, then use the tool to confirm. That way you learn the skill and still get the right answer.
Alongside the decimal, the tool shows the simplified form of your fraction. Simplifying means dividing the numerator and the denominator by their greatest common factor until no further reduction is possible. For example, 6/8 simplifies to 3/4, and 10/20 simplifies to 1/2.
How do I convert a fraction to a decimal? Divide the numerator by the denominator. For example, 3 divided by 4 is 0.75, so 3/4 equals 0.75. This tool does the division for you instantly.
What is 1/3 as a decimal? The fraction 1/3 is approximately 0.3333 when shown to 4 decimal places. The threes repeat forever, so the value is rounded at the precision you choose.
What is 22/7 as a decimal? The fraction 22/7 is approximately 3.142857 when shown to 6 decimal places. It is a well-known approximation of pi.
Can the denominator be zero? No. Division by zero has no answer, so the tool will not accept a denominator of zero.
How many decimal places should I choose? Use 2 places for everyday answers, 4 places for schoolwork, and 6 places when you need extra accuracy.
Is the tool free? Yes, it is completely free, with no sign-up and no limits on how many conversions you can do.
Converting fractions is just one small step in working with numbers. For percentage problems, use the Percentage Calculator, and for comparing quantities, use the Ratio Calculator. Both are free FistHost tools that run in your browser just like this one.
When your numbers grow into a real project, FistHost makes it easy to get online. Shared hosting starts from just $0.99/month, and the annual plan includes a free domain, so you can launch your website, blog, or online store without a big budget. Fast servers, free SSL, and friendly support come as standard, which means you can focus on building while FistHost handles the hosting.
Every great website starts with a single idea, and FistHost is built to turn that idea into a live site in minutes. Choose shared hosting from $0.99/month with a free domain on the annual plan, and you get reliable uptime, easy WordPress setup, and support that actually answers. Visit FistHost today and put your project online.
No reviews yet. Be the first to review this tool!
Reviews are protected by captcha and moderated before they appear.