Enter a decimal to see its simplified fraction, mixed number when relevant, and the steps used to reduce it. For a repeating decimal, enter the digits once and choose how many trailing digits repeat.
Use digits and one decimal point. Repeating notation such as 0.333… is set below.
For 0.333…, enter 0.3 above and 1 here.
Useful for measurement fractions.
Try an example
Converting a decimal to a fraction uses a place-value method. Count the digits after the decimal point, write them over the corresponding power of ten, then simplify by dividing both numbers by their greatest common divisor (GCD).
This place-value method works for any terminating decimal. Read the full step-by-step guide →
Terminating decimals end after a finite number of digits — such as 0.25 or 0.875. They convert directly using powers of 10. See the terminating-decimal guide.
Repeating decimals have digits that cycle forever, like 0.333… = 1/3 or 0.272727… = 3/11. These require an algebraic method. See the repeating-decimal guide.
Simplifying divides numerator and denominator by their GCD. For example, 50/100 simplifies to 1/2 because GCD(50, 100) = 50.
Mixed numbers separate the whole part: 1.25 = 5/4 = 1 1/4. The calculator shows both forms. See the mixed-number converter for details.
In construction, woodworking, and engineering, measurements are often read in fractional inches — halves, quarters, eighths, and sixteenths. A decimal like 0.3125 corresponds to 5/16 of an inch. Use the "Round to nearest 1/n" option above, or try the dedicated decimal-inches calculator and the 16ths precision tool. For a printable lookup, see the conversion chart.
Step-by-step method with worked examples.
Convert recurring decimals using the algebraic method.
Recognize and convert finite decimals to fractions.
Divide numerator by denominator and identify repeating results.
Convert any fraction to a percentage.
Convert decimals greater than 1 to mixed numbers.
Round to the nearest tape-measure fraction.
Browse common decimal–fraction equivalents.
Convert to base-2, base-8, or base-16 representations.
Find quick answers to common questions about decimal to fraction conversion
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A decimal to fraction calculator converts decimal numbers into their equivalent fraction form. Enter a decimal like 0.75, and it returns the simplified fraction 3/4 along with a step-by-step breakdown of how the conversion works. Our calculator also handles repeating decimals, mixed numbers, and measurement fractions (like 16ths of an inch).
Yes, all our decimal to fraction calculators are completely free to use with no registration required. All calculations are performed directly in your browser — your data never leaves your device.
Absolutely! Our decimal to fraction calculator is fully responsive and works seamlessly on smartphones and tablets. The interface adapts to any screen size, so you can convert decimals to fractions on the go — whether you're using an iPhone, Android, or iPad.
Yes! We have a dedicated Decimal to Fraction (Inches) calculator designed specifically for measurement conversions. It converts decimal inches into fractional measurements commonly used in construction, woodworking, and engineering — including 8ths, 16ths, 32nds, and 64ths of an inch.
Yes. Every conversion is automatically simplified to lowest terms using the Greatest Common Divisor (GCD) method. For example, entering 0.50 gives you 1/2 — not 50/100. Both the simplified fraction and the unsimplified decimal fraction are shown so you can verify the reduction.
Yes. For terminating decimals (like 0.375), just enter the number and click Convert. For repeating decimals (like 0.333…), use the 'How many trailing decimals repeat?' setting to specify the repeating block length, and the calculator applies the algebraic method to find the exact fraction. You can also use our dedicated repeating-decimal converter for this.
Yes, every conversion includes a detailed step-by-step solution. The steps show how the decimal is rewritten as a fraction, how the GCD is found, how the fraction is simplified, and how it converts to a mixed number if applicable. This makes it a great learning tool as well as a quick converter.
Definitely! Our calculator is perfect for checking your homework answers or learning the conversion process. The step-by-step breakdown shows exactly how each conversion works, helping you understand the math behind it. Teachers and students alike use our tools to verify answers and practice fraction conversions.
Our calculator can handle decimals with up to 15 decimal places accurately, which covers virtually all practical use cases. For repeating decimals, you can specify up to 15 repeating digits. This level of precision is more than sufficient for homework, engineering, construction, cooking, and scientific calculations.