Decimal to Fraction Calculator

Convert any decimal number to a fraction, simplified fraction, or mixed number instantly. Supports terminating and repeating decimals.

Convert Decimal to Fraction

How to Convert a Decimal to a Fraction

Step 1: Count the decimal places (n). Write the decimal digits as the numerator and 10n as the denominator.

Step 2: Simplify by dividing both numerator and denominator by their Greatest Common Divisor (GCD).

Example: 0.75 → 75/100 → GCD(75,100) = 25 → 3/4

Mixed Numbers: If the decimal is greater than 1, separate the whole part and convert the decimal part. e.g. 2.5 → 2 + 1/2 = 2½

Repeating Decimals: For repeating decimals like 0.333..., use the algebraic method: x = 0.333..., 10x = 3.333..., subtract to get 9x = 3, so x = 3/9 = 1/3.

Frequently Asked Questions

For a repeating decimal like 0.333..., set x = 0.333... and multiply both sides by 10 to get 10x = 3.333... Subtract the first from the second: 9x = 3, so x = 3/9 = 1/3. For longer repeating blocks, multiply by the appropriate power of 10 to shift the repeat. This calculator handles standard terminating decimals; for complex repeating decimals, the algebraic method above is most reliable.

A simplified (or reduced) fraction is one where the numerator and denominator share no common factors other than 1. For example, 4/8 simplifies to 1/2 because both 4 and 8 are divisible by 4. To simplify a fraction, divide both the numerator and denominator by their Greatest Common Divisor (GCD). A fraction is in its simplest form when GCD(numerator, denominator) = 1.

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About the Decimal To Fraction

This free decimal to fraction helps you get accurate results instantly without needing to work through the math manually. Whether you need a quick estimate or a precise figure, having a reliable tool on hand saves time and reduces errors compared to manual calculation.

How to Use This Calculator

  1. Enter your values in the input fields above. Each field is labeled to guide you.
  2. Double-check your inputs — results are only as accurate as the numbers you enter.
  3. Click the Calculate button to see your result instantly.
  4. Use the result for your planning, budgeting, or decision-making.

Why Accurate Calculations Matter

Small errors in general calculations can compound into significant problems. A 1% miscalculation in a budget or measurement can translate to hundreds or thousands of dollars in wasted resources, or result in having to redo work entirely. This calculator uses the standard formulas and methods to give you reliable results you can trust.

Tips for Getting the Best Results

Frequently Asked Questions

Is this calculator free? Yes — completely free with no account, login, or payment required. Use it as many times as you need.

How accurate are the results? This calculator uses the standard formulas for decimal to fraction calculations. Results are accurate for typical use cases. For specialized or high-stakes applications, consult a professional.

Does it work on mobile? Yes. This calculator is fully responsive and works on smartphones, tablets, and desktops.