Mixed Number Calculator

Do arithmetic with mixed numbers and get the answer as a mixed number, improper fraction and decimal.

What this calculator does

Mixed number arithmetic is easiest if you convert to improper fractions first, do the operation, then convert back. This calculator does exactly that and shows the intermediate improper fractions so the method is visible.

The result is always reduced to lowest terms, and the whole and fractional parts are separated the way a textbook answer would present them.

A worked example

As an example, with a first โ€” whole, numerator, denominator of 2, operation of Add, second โ€” whole, numerator, denominator of 1, the calculator returns a result of 4 1/12. Underneath, Improper fraction comes out at 49/12 and Decimal at 4.083333. Change any field and every figure updates as you type.

Getting your answer

  1. Enter the whole number, numerator and denominator of the first value.
  2. Choose the operation.
  3. Enter the second mixed number and read the result.

How the number is calculated

improper = (whole ร— denominator + numerator) รท denominator then add, subtract, multiply or divide as ordinary fractions and reduce

Questions people ask about this

How do I add mixed numbers?
Convert both to improper fractions, find a common denominator, add the numerators, then convert back and reduce.
What is an improper fraction?
One where the numerator is larger than the denominator, such as 7/3. It is the same value as the mixed number 2 1/3.
Can I use negative mixed numbers?
Yes โ€” enter a negative whole number and the sign is applied to the whole value.