Fraction Simplifier
Simplify proper and improper fractions into lowest reduced terms.
GCD & LCM Calculator
About Fraction Simplifier
The Step-by-Step Fraction Simplifier & Reducer reduces improper and proper fractions to their lowest terms, converting between Proper Fractions, Mixed Numbers ($1 \frac{1}{2}$), Decimal expansions, and Percentages with GCD division proofs.
How to Use Fraction Simplifier
Step 1
Enter the Numerator and Denominator.
Step 2
Click "Simplify Fraction".
Step 3
Inspect the irreducible fraction, mixed number, decimal value, and step-by-step GCD proof.
Step 4
Click "Copy Result".
Practical Use Cases for Fraction Simplifier
Mathematics Homework & Educational Step Verification
Verify fraction reduction steps with step-by-step greatest common divisor (GCD) cancellation proofs.
Culinary Recipe & Construction Measurement Scaling
Convert unwieldy construction fractions (e.g. $28/16$ inches) into clean mixed numbers ($1 \frac{3}{4}$ inches).
Input & Output Examples
Simplifying Fraction 48/64
Numerator: 48, Denominator: 64
Simplified Fraction: $3/4$ | GCD(48, 64) = 16 | Division: $\\frac{48 \\div 16}{64 \\div 16} = \\frac{3}{4}$ | Decimal: 0.75 | Percentage: 75%Key Features & Performance
- ✓Reduces any proper or improper fraction to simplest irreducible form ($a/b$).
- ✓Converts improper fractions to Mixed Numbers ($q \\frac{r}{b}$).
- ✓Shows full step-by-step GCD calculation and division cancellation.
- ✓Computes exact Decimal expansion (with repeating decimal overline notation) and Percentage.
- ✓100% Client-Side calculation.
- ✓1-Click Copy simplified fraction.
Key Terminology & Definitions
Irreducible Fraction (Lowest Terms)
A fraction where the numerator and denominator are coprime (their greatest common divisor is 1), meaning it cannot be simplified further.
Mixed Number
A number consisting of a non-zero integer followed by a proper fraction (e.g. $7/4 = 1 \\frac{3}{4}$).