Advanced Decimal to Fraction Converter

Advanced Decimal to Fraction Converter

Convert between decimals and fractions with precision and visual representations

🔢 Fraction Converter

Convert between decimal and fraction formats

Decimal → Fraction
Fraction → Decimal
Enter decimal number (e.g., 0.75, 0.333, 1.25)
Accuracy for decimal to fraction conversion

📊 Conversion Results

Your fraction conversion results

Input: 0.75
Converted: 3/4
Simplified: 3/4
Decimal Value: 0.75
Percentage: 75%
3
4

📈 Fraction Visualization

Visual representation of the fraction

🎯 3D Fraction Model

Interactive 3D representation

Mouse: Rotate model
Wheel: Zoom in/out

Common Decimal-Fraction Conversions

Click any example to use it in the calculator

Decimal and Fraction Guide

Understanding the relationship between decimals and fractions is fundamental in mathematics. Every fraction represents a division operation, and every terminating or repeating decimal can be expressed as a fraction.

Conversion Methods

Decimal to Fraction: Use continued fractions or find common denominator
Fraction to Decimal: Divide numerator by denominator
Simplification: GCD(numerator, denominator) = 1
Percentage: (numerator ÷ denominator) × 100%

Terminating Decimals: Decimals like 0.5, 0.25, 0.125 can be exactly represented as fractions with denominators that are powers of 2 and 5 (since 10 = 2 × 5).

Repeating Decimals: Decimals like 0.333... (1/3) or 0.142857142857... (1/7) repeat infinitely but can still be expressed as exact fractions using algebraic methods.

Simplification: Always reduce fractions to their lowest terms by dividing both numerator and denominator by their Greatest Common Divisor (GCD). This gives the most concise representation.

Precision in Conversion: When converting decimals to fractions, the precision setting determines how close the fraction approximation needs to be to the original decimal. Higher precision may result in more complex fractions.

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