Fraction Arithmetic & Simplification Calculator
Use our free online Fraction Calculator to perform fast, accurate calculations with instant formulas, step-by-step arithmetic, and verified reference benchmarks.
Fraction Calculator
Instant Live Computation • Zero Waiting
Adjust inputs on the left for instantaneous live computation.
How to Calculate: The Fraction Calculator Formula
Computes exact simplified fractional results using the Greatest Common Divisor (GCD) to reduce to lowest terms.
Step-by-Step Calculation Guide
- Input numerator and denominator for first fraction.
- Choose arithmetic operator (+, -, ×, ÷).
- Input numerator and denominator for second fraction.
- Review simplified fraction result, mixed number format, and decimal equivalent.
Practical Fraction Calculator Examples
Add 2/3 + 3/4.
Divide (3/5) ÷ (2/7).
Common Fraction to Decimal & Percent Conversions
Official reference values and benchmark classifications based on standard institutional guidelines.
| Fraction | Decimal Equivalent | Percentage | Reduced Status |
|---|---|---|---|
| 1/8 | 0.125 | 12.5% | Fully Simplified |
| 1/4 | 0.250 | 25.0% | Fully Simplified |
| 1/3 | 0.333... | 33.33% | Repeating Decimal |
| 1/2 | 0.500 | 50.0% | Fully Simplified |
| 2/3 | 0.666... | 66.67% | Repeating Decimal |
| 3/4 | 0.750 | 75.0% | Fully Simplified |
Frequently Asked Questions about Fraction Calculator
How do you divide fractions?
Keep the first fraction, flip the second fraction upside down (its reciprocal), and multiply straight across (Keep, Change, Flip).
What is the Greatest Common Divisor (GCD)?
The GCD (or HCF) is the largest integer that divides evenly into both numerator and denominator, used to simplify fractions to their simplest terms.
What is an improper fraction vs mixed number?
An improper fraction has a numerator larger than denominator (e.g. 7/4). A mixed number writes it as a whole integer plus fraction (1 3/4).
Can denominators ever be zero?
No. Division by zero is undefined in mathematics; denominators can never equal zero.