Fraction Calculator
Perform operations on fractions with step-by-step solutions.
Fraction Calculator
Perform operations on fractions with step-by-step explanations.
About the Fraction Calculator
Our Fraction Calculator is designed to perform basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. It provides clear step-by-step solutions to help you understand the mathematical process behind each calculation.
How it works
1. Basic Operations: The calculator follows standard rules for fraction arithmetic:
- For addition and subtraction, it finds a common denominator before performing the operation.
- For multiplication, it multiplies the numerators and denominators separately.
- For division, it multiplies the first fraction by the reciprocal of the second fraction.
2. Simplification: After calculating the result, the calculator simplifies the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).
3. Multiple Formats: The result is provided in three formats:
- As a simplified fraction
- As a decimal number
- As a mixed number (when applicable)
Key Mathematical Concepts
- Greatest Common Divisor (GCD): The largest positive integer that divides two numbers without a remainder.
- Least Common Multiple (LCM): The smallest positive number that is divisible by two numbers.
- Mixed Number: A number expressed as a whole number plus a fraction (e.g., 3½).
Note: This calculator handles proper fractions, improper fractions, and can work with negative numbers. However, it does not support complex operations or mixed numbers as inputs. To calculate with mixed numbers, please convert them to improper fractions first.