Fraction Calculator
Use this free Fraction Calculator to calculate your Fraction arithmetic instantly and accurately.
Two fractions
Result
What is a Fraction Calculator?
A Fraction Calculator performs arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It automatically simplifies the result to its lowest terms and can also show the decimal equivalent and mixed number form.
How to calculate fractions manually (the formula)
For addition/subtraction, find a common denominator, then add/subtract the numerators. For multiplication, multiply numerators and denominators directly. For division, multiply the first fraction by the reciprocal of the second. Always simplify the result by dividing numerator and denominator by their GCF.
Example calculation
Add 1/2 + 1/3. Common denominator: 6. 1/2 = 3/6, 1/3 = 2/6. Sum = 3/6 + 2/6 = 5/6. The fraction is already in simplest form.
Common mistakes
- Adding denominators directly — When adding fractions, only add the numerators after finding a common denominator. Denominators are never added.
- Forgetting to simplify — Always reduce the final fraction to its lowest terms using the greatest common factor.
- Dividing without flipping — To divide fractions, multiply by the reciprocal of the second fraction. Do not perform direct division of numerators and denominators.
Frequently asked questions
How do I add two fractions?
Find a common denominator, add the numerators, then simplify.
How do I multiply fractions?
Multiply numerators together and denominators together, then simplify.
How do I divide fractions?
Multiply the first fraction by the reciprocal of the second fraction.
What is an improper fraction?
An improper fraction has a numerator larger than or equal to its denominator.
How do I simplify a fraction?
Divide the numerator and denominator by their greatest common factor.