Fraction Calculator
Add, subtract, multiply, and divide fractions with automated lowest-term simplification and mixed fraction conversion.
Fraction Arithmetic & Lowest-Term Reduction
Executes addition, subtraction, multiplication, and division across proper, improper, and mixed fractions, simplifying results to lowest terms.
Calculation Steps
- 1For addition/subtraction: Find common denominator bd, cross-multiply numerators, and perform operation.
- 2For multiplication: Multiply numerators together and denominators together.
- 3For division: Multiply first fraction by the reciprocal (inverse) of the second fraction.
- 4Reduce the resulting fraction to lowest terms by dividing by GCD.
- 5Convert improper fractions to mixed numbers.
Practical Example
Scenario: Add two fractions: 3/4 + 2/5
Inputs: Fraction 1: 3/4 | Fraction 2: 2/5 | Operation: Addition
Calculation: (3 * 5 + 2 * 4) / (4 * 5) = (15 + 8) / 20 = 23 / 20 = 1 3/20
Result: Improper Fraction: 23/20 | Mixed Number: 1 3/20 | Decimal: 1.15
Assumptions & Disclaimers
Key Assumptions:
- Denominators cannot be zero.
- Input fractions can be proper (numerator < denominator) or improper.
Calculations maintain exact integer fraction representations without decimal rounding until explicitly requested.
Frequently Asked Questions
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