Fraction Operations
A fraction calculator performs addition, subtraction, multiplication, and division with fractions. Fractions represent parts of a whole, with a numerator (top number) and denominator (bottom number).
Addition and Subtraction
To add or subtract fractions, find a common denominator:
a/b + c/d = (ad + bc) / bd
a/b - c/d = (ad - bc) / bd
Multiplication
Multiply numerators and denominators separately:
a/b x c/d = (axc) / (bxd)
Division
Multiply by the reciprocal:
a/b / c/d = a/b x d/c = (axd) / (bxc)
Examples
Addition: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
Subtraction: 3/4 - 1/2 = 3/4 - 2/4 = 1/4
Multiplication: 2/3 x 3/4 = 6/12 = 1/2
Division: 1/2 / 1/4 = 1/2 x 4/1 = 4/2 = 2
Simplification
Always reduce fractions to lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Find common denominator, add numerators, simplify.
Multiply numerators together and denominators together.
Multiply by the reciprocal of the second fraction.
A number that both denominators divide into evenly.
No, only for addition and subtraction.