Fraction Inputs
Choose an operation or conversion and enter numerator and denominator values.
Fraction Calculator
Simplify, convert, and calculate with fractions and mixed numbers
How It Works
This calculator keeps fraction results exact by reducing numerators and denominators with their greatest common divisor.
Use conversion mode for decimal or mixed-number context, and arithmetic mode for the four basic fraction operations.
- Fractions are reduced to lowest terms whenever possible.
- Mixed numbers are converted into improper fractions before arithmetic.
- Division by a zero numerator or denominator is rejected safely.
- Decimal conversions are rounded to a readable number of places.
Formulas
Simplify = numerator / gcd(numerator, denominator)
Add or subtract = (a x d +/- c x b) / (b x d)
Multiply = (a x c) / (b x d)
Divide = (a / b) x (d / c)
Add
1/4 + 2/3
11/12
A common denominator makes unlike fractions comparable.
Convert
7/4
1 3/4 = 1.75
Improper fractions can be shown as both mixed numbers and decimals.
Multiply
3/5 x 10/9
2/3
Reduce the product to lowest terms for a clean result.
How do I enter a mixed number?
Use the whole-number and fraction fields in conversion mode, or enter the equivalent improper fraction for arithmetic.
Why do denominators need to be nonzero?
A fraction with a zero denominator is undefined, so the calculator will show an input message instead of a result.
What does simplify mean?
Simplifying divides the numerator and denominator by their greatest common divisor without changing the fraction’s value.
Are decimal results exact?
The fraction result remains exact; decimal display is rounded for readability.