Fraction Calculator

Add, subtract, multiply, or divide fractions with step-by-step work

/
/
0
Result

About the Fraction Calculator

This calculator handles addition, subtraction, multiplication, and division of two fractions. It shows the result as a simplified fraction and as a decimal, with a clear step-by-step breakdown that includes finding common denominators, performing the operation, and reducing using the greatest common divisor (GCD).

The Formula

Add: a/b + c/d = (a×d + b×c) / (b×d)
Subtract: a/b − c/d = (a×d − b×c) / (b×d)
Multiply: a/b × c/d = (a×c) / (b×d)
Divide: a/b ÷ c/d = (a×d) / (b×c)

FAQs

How do you simplify a fraction?

Divide both the numerator and denominator by their greatest common divisor (GCD). For example, 6/8 simplifies to 3/4 because the GCD of 6 and 8 is 2.

How do you find a common denominator?

The common denominator is found by multiplying the two denominators together. For more complex cases, the least common multiple (LCM) can be used, but the product always works.