Decimal To Fraction Calculator

Convert any decimal number to its simplest fraction form with step-by-step explanation. Handles integers, terminating decimals, and repeating decimals with high precision.

isCalculator Editorial Team Published by:
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How to use this tool?

This calculator converts a decimal number into its simplest fraction form. Follow these steps:

  1. Enter a decimal number in the input field (e.g., 0.75, 2.5, or 3). Only non-negative decimals are accepted.
  2. Click the "Convert" button to perform the calculation.
  3. View the result displayed as a simplified fraction (e.g., 3 / 4). The steps show how the conversion was done.

Note: The calculator handles integers (e.g., 5 becomes 5/1) and decimals up to high precision. If you enter a negative number, an error message will appear.

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Frequently Asked Questions

It uses a continued fraction algorithm to find the closest simple fraction that represents the decimal. It then simplifies the fraction by dividing both numerator and denominator by their greatest common divisor (GCD).

Yes, the calculator handles negative decimals. The negative sign is applied to the final fraction.

The calculator uses a tolerance to approximate repeating decimals. For example, 0.333... will be converted to 1/3.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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