Calculator
Fraction calculator
Calculate two fractions or mixed numbers exactly and fully simplified.
Enter fractions
Choose sign, whole part, numerator and denominator for both numbers.
Result
Simplified result
5/6
Fraction parts
5 of 6 equal parts
Exact fraction arithmetic
The numerator is above and the denominator below the fraction bar. Proper fractions are below 1; improper fractions can be shown as mixed numbers. Every operation uses exact integers and the greatest common divisor for simplification.
Notes
- ✓The sign applies to the entire mixed number.
- ✓A denominator can never be 0.
- ✓Repeating decimal representations are limited approximations.
Frequently asked questions
How are fractions added?
They are brought to a common denominator, their numerators are added, and the result is simplified.
Why is the result simplified?
The numerator and denominator are divided by their greatest common divisor.
What is a mixed number?
It combines a whole number and a proper fraction, such as 2 1/3.
Can I calculate negative fractions?
Yes. The separate sign applies to the complete operand.
Why can the denominator not be 0?
Division into zero parts is mathematically undefined.
Why does the decimal for 1/3 not end?
It repeats indefinitely and is therefore shown as a limited approximation.
Can I enter improper fractions?
Yes, for example 7/3 with a whole part of 0.