Fraction Calculator
Work with proper fractions, improper fractions, and mixed numbers in one place
First Fraction
Use this for mixed numbers, such as 2 in 2 1/3.
Second Fraction
Use this for mixed numbers, such as 2 in 2 1/3.
- Use common denominator 6.
- 3 + 2 = 5.
- Simplify 5/6 to 5/6.
How Fraction Math Works
The calculator shows the final answer and the key arithmetic steps.
Adding and subtracting
Fractions need a common denominator before their numerators can be added or subtracted. The calculator finds that denominator and simplifies the result.
Multiplying and dividing
Multiplication uses numerator times numerator and denominator times denominator. Division turns the second fraction into its reciprocal first.
Mixed numbers
A mixed number is converted to an improper fraction before the calculation, then shown again as a mixed number when useful.
Fraction Examples
Quick reference results for common fraction operations.
Fraction Calculator FAQ
Common questions about working with fractions, mixed numbers, and simplified results.
How do I add fractions with different denominators?
Find a common denominator first, rewrite each fraction with that denominator, then add the numerators and simplify the result.
Can this calculator handle mixed numbers?
Yes. Enter the whole number, numerator, and denominator for each value. The calculator converts mixed numbers internally and shows the simplified mixed-number answer.
Why does the calculator show an improper fraction too?
Improper fractions are useful for checking work, multiplying, dividing, and comparing exact values before converting back to a mixed number.
What does simplify mean for a fraction?
Simplifying reduces the numerator and denominator by their greatest common factor so the fraction is written in lowest terms.
When should I use the decimal result?
Use the decimal when you need an estimate, a measurement, or a comparison with decimal numbers. Use the fraction result when exact arithmetic matters.