Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions. Supports mixed numbers and shows visual representations.
A fraction calculator performs addition, subtraction, multiplication, and division of fractions and mixed numbers, showing step-by-step solutions.
Examples
1/2 + 1/3
2/3 × 3/4
Frequently Asked Questions
How do I simplify fractions?
Quick Tips
- •Use the step-by-step breakdown to verify intermediate calculations.
- •Simplify fractions before multiplying to keep numbers small and reduce errors.
- •Convert mixed numbers to improper fractions first when doing subtraction to avoid sign mistakes.
A fraction calculator performs addition, subtraction, multiplication, and division of fractions and mixed numbers, showing step-by-step solutions.
How to Use This Calculator
Enter two fractions in the fields. For mixed numbers, use the whole-number field (e.g. 2 for 2 1/2). Select the operation: add, subtract, multiply, or divide. Click Calculate to get the result in simplified form and a step-by-step breakdown of the calculation.
Understanding the Formula
Addition: a/b + c/d = (ad + bc)/bd. Multiplication: a/b × c/d = ac/bd. Division: a/b ÷ c/d = ad/bc.
Examples
1/2 + 1/3
LCD = 6. Convert: 3/6 + 2/6 = 5/6
2/3 × 3/4
(2×3)/(3×4) = 6/12 = 1/2
Frequently Asked Questions
How do I simplify fractions?
Find the GCD of numerator and denominator, then divide both by it. For example, 6/12: GCD(6,12)=6, so 6÷6 / 12÷6 = 1/2.
Assumptions & Limitations
- Assumes exact integer numerators and denominators — decimal inputs are not supported.
- Denominators must be non-zero; division by a fraction equal to zero is undefined.
- Mixed number whole parts are assumed to be non-negative.