What is a mixed number?
A mixed number is a whole number plus a proper fraction, such as 2 3/4.
Mixed Number Calculator
Enter a whole number plus a fraction to see the improper form and its decimal value instantly.
Enter a mixed number
Provide the whole part, numerator, and denominator of your mixed number.
About this calculator
How to use Mixed Number Calculator, plus the formulas and logic behind the results.
Tool description
A mixed number combines a whole number and a proper fraction. This calculator converts it to an improper fraction in lowest terms and shows the decimal equivalent.
How to use
- Enter the whole-number part of the mixed number.
- Enter the fractional numerator and denominator.
- Select Calculate to view the improper fraction and decimal.
- Use Clear to restore the default example.
Formulas & reference
Improper numerator = (whole × denominator) + numeratorImproper fraction = improper numerator / denominatorSimplify by dividing by gcd(|n|, |d|)Decimal = numerator ÷ denominator
Mixed number tips
- 2 3/4 means 2 + 3/4
- 2 3/4 = 11/4 = 2.75
- Always simplify the improper result
- Denominator cannot be zero
Calculation logic
The whole part is scaled by the denominator and added to the numerator. The result is reduced with the greatest common divisor and divided for the decimal display.
Use a negative whole or numerator to represent negative mixed numbers. Denominator must be a positive integer.
Mixed Number Calculator FAQ
Common questions about this calculator and how to use the results.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and keep the same denominator.
Can this calculator show a decimal?
Yes. It divides the improper numerator by the denominator to show the decimal form.
Does the result get simplified?
Yes. The improper fraction is reduced to lowest terms using the greatest common divisor.
Can I enter a negative mixed number?
Yes. Use a negative whole part (or negative numerator when the whole is zero) to represent a negative value.
Why must the denominator be positive?
A zero denominator is undefined. This tool requires a positive whole-number denominator.