What This Fraction Simplifier Does

Feature	Description
Simplify Fractions	Reduces fractions to lowest terms
Mixed Number Support	Convert between mixed numbers and improper fractions
GCD Calculation	Shows Greatest Common Divisor
Step-by-Step	Explains each simplification step
Decimal Conversion	Shows decimal equivalent
Mixed Result	Displays improper fractions as mixed numbers
Quick Examples	One-click preset fractions
Two Modes	Simple fraction or mixed number input

How It Works

GCD (Greatest Common Divisor)

• Finds the largest number that divides both numerator and denominator
• Uses Euclidean algorithm
• Example: GCD(12, 16) = 4

Simplification Process:

1. Find GCD of numerator and denominator
2. Divide both by GCD
3. Result is simplified fraction

Examples

Input	GCD	Simplified	Decimal
12/16	4	3/4	0.75
8/12	4	2/3	0.666…
15/25	5	3/5	0.6
18/27	9	2/3	0.666…
24/36	12	2/3	0.666…
7/8	1	7/8 (already simplified)	0.875
9/12	3	3/4	0.75

Mixed Number Support

Mixed Number → Improper Fraction:

• Formula: (Whole × Denominator) + Numerator
• Example: 2 1/2 = (2 × 2 + 1)/2 = 5/2

Improper Fraction → Mixed Number:

• Formula: Whole = Numerator ÷ Denominator, Remainder becomes new numerator
• Example: 5/2 = 2 remainder 1 → 2 1/2

Step-by-Step Example

Simplifying 12/16:

text

Step 1: Find the GCD of 12 and 16
• GCD(12, 16) = 4

Step 2: Divide both numerator and denominator by 4
• 12 ÷ 4 = 3
• 16 ÷ 4 = 4

Step 3: Write the simplified fraction
• 3/4

Two Modes

Mode	Input	Output
Simple Fraction	Numerator/Denominator	Simplified fraction + decimal + mixed (if improper)
Mixed Number	Whole number + fraction	Simplified mixed number + improper fraction

Quick Examples Included

Click	Calculates
12/16 → 3/4	Simplifies to 3/4
8/12 → 2/3	Simplifies to 2/3
15/25 → 3/5	Simplifies to 3/5
18/27 → 2/3	Simplifies to 2/3
7/8	Already simplified
20/25 → 4/5	Simplifies to 4/5

Keyboard Shortcuts

• Ctrl/Cmd + Enter — Recalculate
• Ctrl/Cmd + R — Reset to defaults