Fraction Calculator
Free fraction calculator. Perform addition, subtraction, multiplication, and division of fractions and mixed numbers. Results are automatically simplified with a step-by-step breakdown.
How to Perform Operations with Fractions
Fractions represent parts of a whole. To add or subtract fractions you need a common denominator (the LCM of both denominators). To multiply, multiply the numerators together and the denominators together. To divide, multiply by the reciprocal of the second fraction. This calculator handles all four operations and automatically simplifies the result.
Fraction Formulas
Addition: a/b + c/d = (a×d + c×b) / (b×d). Subtraction: a/b - c/d = (a×d - c×b) / (b×d). Multiplication: a/b × c/d = (a×c) / (b×d). Division: a/b ÷ c/d = (a×d) / (b×c).
Frequently Asked Questions
How do I simplify a fraction?
Divide both the numerator and the denominator by their greatest common divisor (GCD). For example, 6/8: the GCD of 6 and 8 is 2, so 6/8 = 3/4.
What is an improper fraction?
An improper fraction is one where the numerator is larger than the denominator, such as 7/4. It can be expressed as a mixed number: 1 3/4.