Count the decimal places
Use 10 for one decimal place, 100 for two places, or 1,000 for three places. The value 0.625 therefore starts over 1,000.
Decimal to Fraction Calculator
Use this free decimal to fraction calculator to turn a terminating decimal into a simplified fraction. Enter a positive decimal, negative decimal, whole number, or decimal greater than 1 to get an exact fraction, a mixed number when needed, and clear calculation steps.
Enter a Decimal Number
Convert a terminating decimal into an exact simplified fraction.
Enter a decimal to see the simplified fraction and calculation steps.
Free Decimal to Fraction Calculator with Steps
Convert any decimal to a fraction in seconds with this free calculator. Enter a decimal like 0.625, and you will instantly get the exact answer, 5/8, in simplest form—plus the step-by-step work behind it. The tool handles positive and negative terminating decimals, whole numbers, and values greater than 1 without rounding the main result.
You can copy the answer, review how the denominator was selected, and see how the greatest common divisor reduces the fraction. For a value greater than 1, the calculator also presents a mixed number while preserving the exact improper fraction. No sign-up or payment is required, and your decimal is converted directly in your browser.
What Is a Decimal to Fraction Conversion?
A decimal and a fraction can describe the same exact value. The decimal 0.5 and the fraction 1/2 both mean one half of a whole; they simply use different notation. A fraction writes the value as a numerator above a denominator. The numerator counts the selected parts, while the denominator states how many equal parts make one whole.
This calculator converts the decimal you enter into that fractional form without rounding the main answer. It also reduces the result to simplest form and shows a mixed number when the value is greater than 1. For example, 2.75 is exactly 11/4 and can also be written as 2 3/4.
Decimals Greater Than 1 and Mixed Numbers
A decimal greater than 1 can be written as an improper fraction or as a mixed number. For example, 2.75 becomes 275/100, simplifies to 11/4, and can then be written as 2 3/4. These forms are exactly equal; the mixed number simply makes the whole-number part easier to see.
Use the dedicated decimal to mixed number calculator when you want the improper fraction, mixed number, and division steps together. Negative values keep the sign in front of the complete mixed number, so -3.5 becomes -7/2 and -3 1/2.
How to Convert a Decimal to a Fraction
Converting a decimal to a fraction takes three steps: count the decimal places, write the fraction, then simplify. The calculator applies the same method automatically and keeps the complete work visible so you can check the result step by step.
Write the integer fraction
Remove the decimal point for the numerator and place it over the chosen denominator. For 0.625, this gives the exact fraction 625/1000.
Reduce to simplest form
Divide the numerator and denominator by their greatest common divisor. For 625/1000, divide both by 125 to get 5/8.
For more explanation, negative-number examples, and common mistakes, read the complete decimal-to-fraction method.
Decimal to Fraction Examples
Here are four common conversions, worked out step by step so you can see exactly how the calculator gets its answers. Each linked example explains the place value, greatest common divisor, simplest form, and equivalent percentage in more detail.
0.5 as a fraction
0.5 = 1/2
Five tenths is 5/10. Dividing the numerator and denominator by 5 reduces the fraction to one half.
0.75 as a fraction
0.75 = 3/4
Seventy-five hundredths is 75/100. Both values divide by 25, so the simplest fraction is three quarters.
0.625 as a fraction
0.625 = 5/8
Six hundred twenty-five thousandths is 625/1000. Dividing both values by 125 produces the exact fraction five eighths.
0.125 as a fraction
0.125 = 1/8
One hundred twenty-five thousandths is 125/1000. Dividing the numerator and denominator by 125 gives one eighth.
Decimal to Fraction Chart
For a quick reference, see our full decimal to fraction chart, which lists common decimals and their simplified fraction and percentage equivalents. It works in both directions, so you can start with a decimal or look up a fraction. The sortable chart also includes common sixteenth-inch values and can be downloaded as an Excel file for an offline reference.
Finite and Repeating Decimals
The input accepts finite decimal notation: a number with a definite sequence of digits, such as 0.125, -0.5, or 2.75. The exact result is based on every digit entered. For that reason, 0.333333 is converted exactly as 333333/1000000, not silently changed to 1/3.
When an input has at least six decimal places and closely matches a familiar repeating fraction, the result may also show a separate approximation such as 0.333333 ≈ 1/3. The approximation is labeled separately and never replaces the exact fraction. Repeating-bar notation and infinite decimal input are not supported.
Common Decimal, Fraction, and Percent Equivalents
Here are the most common decimal-to-fraction equivalents, from tenths to eighths. They appear often in measurements, percentages, recipes, money, and everyday calculations. Because every row is already in simplest form, you can use the table to recognize a value quickly and then open the complete chart when you need more rows, sorting, copy controls, or an Excel download.
| Decimal | Fraction | Percent |
|---|---|---|
| 0.1 | 1/10 | 10% |
| 0.125 | 1/8 | 12.5% |
| 0.2 | 1/5 | 20% |
| 0.25 | 1/4 | 25% |
| 0.375 | 3/8 | 37.5% |
| 0.5 | 1/2 | 50% |
| 0.625 | 5/8 | 62.5% |
| 0.75 | 3/4 | 75% |
Decimal to Fraction FAQs
How do you convert a decimal to a fraction?
To convert a decimal to a fraction, count the decimal places, write the digits over 10, 100, 1,000, or the matching power of 10, and simplify the fraction. For example, 0.625 becomes 625/1000, which simplifies to 5/8. The decimal to fraction calculator performs the same steps and shows the exact result.
Does the decimal to fraction calculator simplify fractions automatically?
Yes. The decimal to fraction calculator finds the greatest common divisor and reduces every exact result to a fraction in simplest form. If the decimal is greater than 1, the main answer is shown as a mixed number, such as 2.75 = 2 3/4.
Can the calculator convert repeating decimals?
The calculator accepts finite decimal input, not repeating-bar notation or an infinite decimal. When a decimal has at least six places and closely matches a common repeating fraction, the calculator may show a separate approximation such as 0.333333 ≈ 1/3. The exact decimal-to-fraction result always remains the main answer.
How do I convert 0.5 to a fraction?
0.5 as a fraction is 1/2. Count one decimal place, write 5 over 10, then divide both the numerator and denominator by 5, their greatest common divisor, to get 1/2 in simplest form. The calculator performs these steps automatically and shows the work.
How do you convert a decimal to a fraction without a calculator?
Count the decimal places to choose the denominator (one place = 10, two = 100, three = 1,000). Write the digits as the numerator, then simplify by dividing both numbers by their greatest common divisor. For example, 0.75 = 75/100, and dividing by 25 gives 3/4.
How do I convert inches to fractions?
Write the decimal part of the inch over the appropriate power of 10, then simplify. For example, 0.5 inch = 5/10 = 1/2 inch. Use the decimal to fraction chart for common inch measurements like 1/8, 1/4, 3/8, and 1/2.
Full Step-by-Step Example Pages
Open a dedicated answer page to see every simplification step and practical context for that value.