Fraction Calculator
A comprehensive fraction calculator that can add, subtract, multiply, and divide proper and improper fractions. All results are automatically simplified to their lowest terms and shown as a decimal equivalent. Makes fraction math easy.
Inputs
Enter the required values to calculate.
Result
The calculated result will appear here.
More Information
Understanding the Fraction Calculator
This calculator is designed to perform basic arithmetic operations—addition, subtraction, multiplication, and division—on fractions. It simplifies the often-tedious process of working with numerators and denominators.
How Fraction Arithmetic Works
- Addition/Subtraction: To add or subtract fractions, they must have a common denominator. The calculator finds the least common multiple of the denominators, converts the fractions to have this common denominator, and then performs the operation on the numerators.
- Multiplication: To multiply fractions, you simply multiply the numerators together and multiply the denominators together. For example, (1/2) * (3/4) = 3/8.
- Division: To divide one fraction by another, you invert the second fraction (find its reciprocal) and then multiply the two fractions. For example, (1/2) ÷ (3/4) becomes (1/2) * (4/3) = 4/6, which simplifies to 2/3.
Automatic Simplification
After every calculation, the resulting fraction is automatically reduced to its simplest form by dividing both the numerator and denominator by their greatest common divisor (e.g., 4/6 is simplified to 2/3). The tool also provides the decimal equivalent of the final fraction for your convenience. For more general math problems, you can use our Standard Calculator.