Decimal to Fraction Calculator
Convert terminating and repeating decimals to simplified fractions and mixed numbers.
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How to Use the Decimal to Fraction Calculator
- 1Type any decimal into the input box (e.g. 0.75, 2.375, or repeating patterns).
- 2The tool analyzes the decimal places and converts the number into a fraction over powers of 10.
- 3The fraction is simplified by dividing the numerator and denominator by their greatest common factor.
- 4View the reduced fraction and mixed number.
Formula & How It Works
Decimal Conversion Process
For a terminating decimal with d decimal digits, write it as an integer over 10^d and reduce by dividing both parts by GCF(numerator, 10^d).
Worked Examples
Converting 0.625
Input: 0.625
Explanation: 625 / 1000 simplified by dividing both by GCF(625, 1000) = 125 gives 5/8.
Mixed Number Conversion
Input: 3.75
Explanation: Whole part is 3, 0.75 reduces to 3/4.
Frequently Asked Questions
Can this tool handle repeating decimals?▼
Yes, you can toggle repeating decimal mode to convert patterns like 0.333... into 1/3.
Does it convert negative decimals?▼
Yes, the negative sign is retained in the resulting fraction.
What is the difference between a proper and improper fraction?▼
A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator greater than or equal to its denominator.
How do I copy the fraction?▼
Click the 'Copy Fraction' button to instantly copy in both standard (a/b) and Unicode formats.
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