Worked example
Add 1/3 and 1/6 to receive the simplified result 1/2 while keeping numerator and denominator separate.
← All calculatorsCalcMate
Fraction arithmetic
Fraction Calculator
Add, subtract, multiply, or divide two fractions and automatically simplify the answer.
Enter your values
Result
Detailed breakdown
=
Your result will appear here
Complete the fields and select Calculate to see a detailed answer.
Formula
How it is calculated
Use a common denominator for addition/subtraction; multiply across for multiplication/division.
Frequently asked questions
How are fractions simplified?
The resulting numerator and denominator are divided by their greatest common divisor.
What is an improper fraction?
An improper fraction has a numerator whose absolute value is greater than or equal to its denominator.
Can a denominator be zero?
No. Division by zero is undefined, so both denominators must be non-zero.
Practical guidance
Use the Fraction Calculator with confidence
Add, subtract, multiply, or divide fractions. Review the example and limitations below before using the result for an important decision.
Assumptions and limits
The result follows the displayed mathematical operation and browser precision. Check units, signs, rounding, and the intended percentage base.
How to read the result
Calculations run from the values you enter using the formula described on this page. Inputs are processed in your browser and results are rounded for display.
Calculation methodology
Read our calculation methodology Educational estimate only. Verify regulated financial, tax, employment, or legal decisions with an official source or qualified professional.