Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions.
Free Online Fraction Calculator
This fraction calculator lets you add, subtract, multiply, and divide fractions instantly. It automatically simplifies results using the greatest common divisor (GCD), converts improper fractions to mixed numbers, and shows the decimal equivalent. A step-by-step breakdown helps you understand exactly how the answer was reached.
How to Use
- Enter the numerator and denominator for the first fraction.
- Select the operation: addition (+), subtraction (-), multiplication (×), or division (÷).
- Enter the numerator and denominator for the second fraction.
- Click "Calculate" to see the simplified result, mixed number, and decimal value.
- Review the step-by-step solution to understand the process.
Frequently Asked Questions
How does the calculator simplify fractions?
It finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divides both by the GCD to produce the simplest form.
Can I use negative fractions?
Yes. You can enter negative values in either the numerator or denominator. The result will be displayed with the negative sign on the numerator.
What is a mixed number?
A mixed number combines a whole number with a proper fraction. For example, the improper fraction 7/3 is equal to the mixed number 2 1/3. The calculator shows the mixed number whenever the result is an improper fraction.
What happens if I divide by zero?
Dividing by zero is undefined. If either denominator is zero, or if you divide by a fraction with a zero numerator, the calculator will display an error message.