Mixed Number Calculator
Enter two integers, fractions, or mixed numbers. Results stay exact with BigInt fraction arithmetic.
Mixed number input
A mixed number combines a whole number and a proper fraction, such as 2 3/4. The calculator also accepts improper fractions such as 11/4 and integers such as 3. It intentionally does not parse decimals or arbitrary expressions.
Negative mixed numbers
A leading minus applies to the whole mixed value. Therefore −1 1/2 = −(1 + 1/2) = −3/2, not −1 + 1/2. Each input is converted visibly before the operation so that sign interpretation is not hidden.
Addition and subtraction
Convert both inputs to improper fractions, create a common denominator, combine the numerators, and reduce. Subtraction keeps the second value's sign in the displayed calculation.
Multiplication and division
For multiplication, multiply numerators and denominators. For division, multiply the first fraction by the reciprocal of the second. A zero denominator is invalid, and zero cannot be used as the divisor.
Exact arithmetic limits
Each whole number, numerator, and denominator may contain up to 12 digits. Calculations use browser BigInt arithmetic rather than floating-point arithmetic; the decimal is a display preview and may end with an ellipsis for a repeating value.
Frequently asked questions
How do I enter a mixed number?
Type the whole number, one space, then the fraction, such as 2 3/4. You can also enter an integer such as 5 or a fraction such as 7/8.
What does a negative mixed number mean?
The conventional notation −1 1/2 means the negative of the entire positive mixed number: −(1 + 1/2) = −3/2. The calculator shows this interpretation before the arithmetic steps.
Does the calculator reduce fractions?
Yes. It uses exact integer arithmetic, keeps the denominator positive, and divides numerator and denominator by their greatest common factor.
Can I divide mixed numbers?
Yes. Convert both values to improper fractions, multiply the first fraction by the reciprocal of the second, then reduce. Division by zero is rejected.
Can I enter decimals?
This page accepts integers, fractions, and mixed numbers so the calculation stays exact. Use ToolNeko's Decimal to Fraction tool first when your starting value is a decimal.