Mixed Number Calculator

Enter two mixed numbers and choose an operation. Result is shown as mixed number, improper fraction, and decimal.

Mixed Number 1

Mixed Number 2

Mixed ↔ Improper Fraction Converter

Mixed Number → Improper

Improper = —

Improper Fraction → Mixed

Mixed = —

Fraction Simplifier

Enter a fraction to get its simplest form.

Simplified = —

Compare Two Mixed Numbers

First number

Second number

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Practice: Mixed Number Arithmetic

Solve: —

What is a Mixed Number?

A mixed number has a whole number part and a proper fraction part (e.g. 2 1/3 = two and one-third). An improper fraction has a numerator larger than or equal to the denominator (e.g. 7/3). You can convert between them: Mixed → Improper = (Whole × Denominator + Numerator) / Denominator.

How to Add Mixed Numbers

Convert each mixed number to an improper fraction, find a common denominator, add the numerators, then convert the result back to a mixed number if needed. This calculator shows every step.

How to Simplify a Fraction

Divide the numerator and denominator by their GCD (Greatest Common Divisor) to get the simplest form. For example, 12/18 simplifies to 2/3.

Frequently Asked Questions

How do you add mixed numbers?

Convert each mixed number to an improper fraction, find a common denominator, add the numerators, then simplify and convert back to mixed form if needed.

How do you convert mixed numbers to improper fractions?

Use the formula: (Whole × Denominator + Numerator) / Denominator. For 2 1/3, that is (2×3+1)/3 = 7/3.

What is a mixed number?

A mixed number is a number made of a whole number and a proper fraction, such as 3 1/2 (three and a half).

How to simplify fractions?

Divide both the numerator and the denominator by their greatest common divisor (GCD). Use the Simplifier tool above for instant results.

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Mixed Number Calculator