Mixed Number Calculator

Add, subtract, multiply or divide two mixed numbers and return simplified exact and decimal results

Your result will appear here.

About the Mixed Number Calculator

Mixed Number Calculator converts between mixed numbers and improper fractions and performs common arithmetic in those forms. A mixed number combines a whole number with a proper fraction, such as 3 1/2.

Converting to an improper fraction first usually makes multiplication, division and simplification more reliable.

How to Use the Mixed Number Calculator

  1. Enter the whole-number and fractional parts.
  2. Choose the conversion or arithmetic operation.
  3. Calculate the result.
  4. Reduce the fractional part and convert back to a mixed number when that form is easier to read.

How the Calculation Works

To convert a positive mixed number a b/c to an improper fraction, numerator = a×c + b and denominator remains c.

After fraction arithmetic, divide the improper numerator by the denominator to obtain the whole-number quotient and use the remainder as the new fractional numerator.

Worked example

Mixed Number Calculator Worked Example

3 1/4 as an improper fraction

Numerator = 3×4+1 = 13. Therefore 3 1/4 = 13/4.

Result guide

Understanding Your Mixed Number Calculator Result

Mixed and improper forms represent the same value. The preferred form depends on whether readability or algebraic manipulation is more important. Negative mixed numbers deserve careful sign handling. Under a common convention, −2 1/3 means −(2+1/3), which converts to −7/3 rather than interpreting only the fractional part as negative.

Before you rely on the answer

Assumptions and Limitations

  • Fraction denominator is non-zero.
  • Sign handling follows the calculator’s mixed-number convention.
  • Fractions are reduced where appropriate.

Practical tip

Using This Result in Practice

For arithmetic involving several mixed numbers, convert them all to improper fractions first, perform the operation, reduce, and only then convert the final answer back.

Related calculations

Useful Calculations to Continue With

If you are working only with ordinary fractions, use the Fraction Calculator.

If one input is a decimal that should be expressed as a fraction first, use the Decimal to Fraction Calculator.

Common questions

Mixed Number Calculator FAQ

What is an improper fraction?

A fraction whose numerator is greater than or equal to the denominator in magnitude.

How do I convert 2 3/5 to an improper fraction?

2×5+3=13, so the result is 13/5.

Are mixed numbers and improper fractions equal?

Yes when they are converted correctly; they are different representations of the same number.