BYTETOOLS

Mixed Number Calculator

Add, subtract, multiply and divide mixed numbers online. Converts to improper fractions, simplifies with the GCD, and shows the working step by step.

First mixed number

Whole · numerator · denominator

Second mixed number

Whole · numerator · denominator

4 1/4
Mixed number
17/4
Improper fraction
4.25
Decimal

Working

Convert to improper fractions: 11/4 + 3/2

Result: 17/4 = 4 1/4 ≈ 4.25

What is the Mixed Number Calculator?

The ByteTools Mixed Number Calculator performs arithmetic on mixed numbers like 2 3/4 and 1 1/2. Choose add, subtract, multiply or divide, and it converts each mixed number to an improper fraction, does the arithmetic with exact integer numerators and denominators, then reduces the answer with the greatest common divisor.

  • Add, subtract, multiply and divide mixed numbers
  • Automatic conversion between mixed and improper form
  • Answers fully reduced using the greatest common divisor
  • Result shown as mixed number, fraction and decimal
  • Supports negative mixed numbers
  • Exact integer arithmetic — no floating-point rounding

How to use the Mixed Number Calculator

  1. 1

    Enter the first mixed number as whole, numerator and denominator.

  2. 2

    Enter the second mixed number the same way.

  3. 3

    Choose the operation: add, subtract, multiply or divide.

  4. 4

    Read the answer as a mixed number, improper fraction and decimal.

  5. 5

    Copy the simplified result with one click.

About the Mixed Number Calculator

The ByteTools Mixed Number Calculator performs arithmetic on mixed numbers like 2 3/4 and 1 1/2. Choose add, subtract, multiply or divide, and it converts each mixed number to an improper fraction, does the arithmetic with exact integer numerators and denominators, then reduces the answer with the greatest common divisor.

The result is shown three ways at once: as a simplified mixed number, as an improper fraction, and as a decimal. The working line shows the improper fractions used, so students can follow every step instead of just copying an answer. Negative mixed numbers are supported by putting the minus sign on the whole-number part.

All calculations are exact integer arithmetic performed 100% locally in your browser — no rounding errors, nothing uploaded, and it works offline.

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 convert back. For example, 2 3/4 + 1 1/2 = 11/4 + 3/2 = 11/4 + 6/4 = 17/4 = 4 1/4. The calculator shows this working automatically.

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

Multiply the whole number by the denominator, then add the numerator. So 2 3/4 becomes (2 × 4 + 3)/4 = 11/4. If the mixed number is negative, the sign applies to the whole thing: −2 3/4 = −11/4.

How do you divide mixed numbers?

Convert both to improper fractions, then multiply the first by the reciprocal of the second. For example, 2 1/3 ÷ 1 1/2 = 7/3 × 2/3 = 14/9 = 1 5/9. Dividing by zero is impossible, so the second number cannot be zero.

How does the calculator simplify the answer?

It divides the numerator and denominator by their greatest common divisor (GCD), computed with the Euclidean algorithm. That guarantees the fraction part of the answer is always in lowest terms, like 6/8 reducing to 3/4.

Can I enter a negative mixed number?

Yes — put the minus sign on the whole-number part, e.g. −2 for −2 3/4. By convention the sign applies to the entire mixed number, so −2 3/4 means −(2 + 3/4) = −2.75, not −2 + 0.75.

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