Mixed Number Calculator

Add, subtract, multiply, or divide two mixed numbers. Enter whole numbers and fractions, choose an operation, and see the result as both a mixed number and an improper fraction — with a full step-by-step solution.

Mixed Number Calculator
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How to Calculate with Mixed Numbers

A mixed number combines a whole number and a proper fraction, such as 2 3/4 (two and three-quarters). To perform arithmetic on mixed numbers, convert each to an improper fraction first, perform the operation, then simplify back to a mixed number.

Converting to an Improper Fraction

Multiply the whole number by the denominator and add the numerator: (whole × denominator + numerator) / denominator. For 2 3/4: (2×4 + 3)/4 = 11/4.

Addition and Subtraction

Find a common denominator (LCD), convert both fractions, then add or subtract the numerators. Simplify and convert back to a mixed number.

Multiplication

Multiply numerators together and denominators together. Simplify using GCD, then convert to a mixed number.

Division

Multiply the first fraction by the reciprocal of the second (flip the second fraction, then multiply).

Frequently Asked Questions

What is a mixed number?+
A mixed number is a combination of a whole number and a fraction, such as 3 1/2 (three and one-half). It represents a value greater than a whole number but expressed in two parts for readability.
How do I add mixed numbers?+
Convert both mixed numbers to improper fractions, find a common denominator, add the numerators, and simplify. Example: 2 1/2 + 1 1/3 = 5/2 + 4/3 = 15/6 + 8/6 = 23/6 = 3 5/6.
Can I leave the whole number blank?+
Yes. If you leave the whole number blank (or enter 0), the calculator treats it as a plain fraction. For example, entering 0 whole, 3 numerator, 4 denominator gives just 3/4.

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