Overview
A fraction represents a part of a whole, such as 3/4. This calculator adds, subtracts, multiplies and divides fractions, then simplifies the result and shows its decimal value.
Formula
For addition and subtraction, use a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal of the second fraction.
How it works
Choose the operation
Select add, subtract, multiply or divide.
Calculate
Use a common denominator for addition and subtraction, or multiply directly for multiplication and division.
Simplify
Divide the numerator and denominator by their greatest common divisor.
Worked examples
Example 1: addition
1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Example 2: division
3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2 = 1 1/2.
Frequently asked questions
What if the denominator is zero?
A fraction is undefined when its denominator is zero, so the calculator will not allow it.
Does it support mixed numbers?
It supports simple fractions. To enter a mixed number such as 1 1/2, use the improper fraction 3/2.
How is the result simplified?
We divide the numerator and denominator by their greatest common divisor.
Can I enter negative fractions?
Yes. The numerator or denominator can be negative, and the sign is normalized in the result.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.