Decimal to Fraction Converter Online

This Decimal to Fraction Converter quickly converts any decimal number into its simplest fraction form. It provides both improper fractions (e.g., 5/2) and mixed fractions (e.g., 2 1/2) as a result for your reference. We made it to provide accurate conversions for use in education, engineering, construction, and everyday measurements.

How to Use the Converter

1. Enter a decimal number in the input field.
2. Click the “Calculate” button to convert it into a fraction.
3. The tool will display both the improper fraction and the mixed fraction.
4. Click “Copy Result” to save the fraction to your clipboard.
5. Use “Clear All” to reset the input and start a new conversion.

This converter works with both positive and negative decimals. The result is automatically simplified to the smallest possible fraction.

How the Conversion Works

The tool follows a mathematical algorithm to accurately convert decimals into fractions:

• Finding the Fraction: The tool determines the numerator and denominator by breaking down the decimal into a fraction using continued fractions.
• Simplification: The fraction is simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
• Mixed Fraction Conversion: If the fraction is improper, it is further converted into a mixed fraction by separating the whole number.

Formula used for conversion:

Fraction = (Decimal × Denominator) / Greatest Common Divisor

Example conversion:

0.75 → 3/4 (since 0.75 × 4 = 3)

Example Calculations

Example conversion of 2.75

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