Fraction Calculator - Add, Subtract, Multiply & Divide Fractions
Free online fraction calculator. Easily add, subtract, multiply, and divide two fractions with step-by-step reduced fractions and decimal answers.
Inputs
🔒 Local ProcessingHow to Use This Calculator
- Enter numerator and denominator for each fraction, choose your arithmetic operation, and view the reduced fraction.
Formula & Mathematical Method
Cross-multiplies denominators to find common terms, then simplifies using greatest common divisor.
(a/b) ± (c/d) = (ad ± bc) / bd | (a/b) × (c/d) = ac / bdExplanation of Variables
| Symbol | Variable Name | Description & Role in Calculation |
|---|---|---|
| a, b | Fraction 1 | Numerator and denominator of initial fraction. |
| c, d | Fraction 2 | Numerator and denominator of secondary fraction. |
Worked Calculation Examples
1/2 + 1/4
Scenario: Adding halves and quarters.
Interpretation of Results
Review your calculated mathematical output alongside step-by-step arithmetic deductions. The result reflects pure algebraic evaluation of your input values.
Calculated Value
The exact numerical result of the mathematical operation or formula.
Key Context: Verify your input figures to ensure accurate computation.
Practical Use Cases
Daily Problem-Solving & Verification
Perform fast, reliable calculations for everyday mathematical, consumer, or educational tasks without manual errors.
Analytical Modeling
Model numerical relationships, ratios, and projections directly in your browser.
Limitations & Key Assumptions
- Calculations assume ideal arithmetic conditions and exact input values.
- Results are computed using standard IEEE 754 precision; discrete rounding may be applied for readability.