Math

Mixed Number Calculator

Calculate with Mixed Numbers Step by Step

Enter mixed numbers (like 2 1/3 or 5 3/8) and choose any operation. The calculator converts each mixed number to an improper fraction, performs the operation, simplifies the result, and converts it back to a mixed number. Every step is shown so you can follow along or check your work.

Tips

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Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Add Fractions

Add 1/2 + 1/3 and see the step-by-step solution.

Key values: 1/2 + 1/3 · Common denominators · Simplified result

Simplify a Fraction

Reduce 24/36 to its simplest form using GCD.

Key values: 24/36 · GCD method · Lowest terms

Decimal to Fraction

Convert 0.75 to a fraction and see the work.

Key values: 0.75 · Fraction conversion · Simplified

Mixed Number Division

Divide 2 1/4 by 1 1/2 with mixed number support.

Key values: 2 1/4 ÷ 1 1/2 · Mixed numbers · Step-by-step

Documentation

This calculator is also known as Mixed Number Calculator.

Read the complete guide

How Mixed Numbers Work

A mixed number combines a whole number with a fraction, such as 3 1/2 (three and one-half).

To compute with mixed numbers, first convert to improper fractions
Multiply the whole part by the denominator, then add the numerator
Perform the operation using standard fraction rules
Convert the result back to a mixed number by dividing numerator by denominator

Examples

Adding 2 1/3 + 1 3/4

A carpenter needs to add two board lengths.

Convert: 7/3 + 7/4. LCD = 12. 28/12 + 21/12 = 49/12 = 4 1/12.

Key takeaway: 2 1/3 + 1 3/4 = 4 1/12.

Working with Mixed Numbers

Keep these strategies in mind for mixed number arithmetic:

Always convert to improper fractions before performing any operation
Double-check the conversion: whole * denominator + numerator = new numerator
Convert the result back to a mixed number for readability, especially in cooking and construction contexts
Watch for negative mixed numbers -- the sign applies to the entire value, not just the whole part

Frequently Asked Questions about Mixed Number Calculator

What is a mixed number?

A mixed number is a whole number combined with a proper fraction, like 3 1/2. It represents 3 + 1/2 = 7/2 as an improper fraction.

How do I convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example: 2 3/4 = (2 * 4 + 3)/4 = 11/4.