Decimal to Fraction Calculator - Calculator See


Decimal to Fraction Calculator

Convert any decimal into its simplest simplified fraction or mixed number, including repeating decimals.

Calculator Inputs

Enter a terminating decimal (e.g. 0.375, 2.625).

Calculated Results

Fraction in Simplest Form
3/8
Mixed Number 0 3/8
Decimal Input 0.375
Greatest Common Divisor 125
Values calculate live as you adjust inputs.

About Decimal to Fraction Calculator

Converts floating-point decimals into exact fractional representations (p/q) reduced to lowest terms by dividing numerator and denominator by their greatest common factor.

What is Decimal to Fraction Calculator?

Converts floating-point decimals into exact fractional representations (p/q) reduced to lowest terms by dividing numerator and denominator by their greatest common factor.

How to Use This Calculator

  1. Enter any positive or negative decimal number.
  2. Review the equivalent reduced fraction and mixed number.

The Mathematical Formula & Variables

Multiply by 10^k where k is decimal digits, then reduce by GCD

Step-by-Step Worked Example

Scenario: Convert 0.375 to a simplified fraction.

  1. 3 decimal places: 0.375 = 375 / 1000.
  2. GCD(375, 1000) = 125.
  3. 375 / 125 = 3; 1000 / 125 = 8.

Result: 3/8

Frequently Asked Questions

How does the calculator simplify fractions?

It calculates the Greatest Common Divisor (GCD) using the Euclidean algorithm and divides both numerator and denominator by it.