What This Calculator Does
Convert, simplify, and calculate fractions, decimals, and mixed numbers instantly.
How to Use This Calculator?
- Select desired operation tab (Fraction ↔ Decimal, Simplify Fraction, Mixed Number ↔ Improper, or Fraction Arithmetic).
- Enter numerators, denominators, or decimal values into the designated inputs.
- View the instant simplified results, decimal equivalent, and step-by-step formula breakdown.
Formula & Calculation Logic
Fraction = Numerator / Denominator | Decimal = Num ÷ Den
Worked Example & Walkthrough
3/4 => 0.75 (75%) | 24/36 => 2/3 (GCD: 12)
In-Depth Comprehensive Guide
Comprehensive Fraction, Decimal & Mixed Number Converter
Working with fractions, decimals, and mixed numbers is a fundamental math skill across engineering, cooking, woodworking, and finance. This consolidated calculator provides a unified interface for four essential fraction operations.
Key Calculator Modes
- Fraction ↔ Decimal: Convert any fraction (e.g. 3/4) to a clean decimal (0.75) or percentage (75%), and vice-versa.
- Simplify Fraction: Reduce fractions to their simplest form using Greatest Common Divisor (GCD) reduction (e.g. 24/36 reduces to 2/3).
- Mixed Number ↔ Improper Fraction: Convert mixed numbers like 2 ¾ into improper fractions (11/4) or expand improper fractions.
- Fraction Arithmetic: Add, subtract, multiply, or divide two fractions with common denominator reduction.
Formula & Mathematical Principles
Fraction to decimal conversion uses direct division: Decimal = Numerator / Denominator. Simplifying fractions requires dividing both terms by their Greatest Common Divisor: GCD(a, b).
Frequently Asked Questions (FAQ)
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