Mixed Number Calculator
The mixed number calculator converts between mixed numbers and improper fractions. A mixed number like 2 3/4 combines a whole number and a proper fraction. An improper fraction like 11/4 has a numerator greater than or equal to the denominator. The calculator also performs addition and subtraction on mixed numbers, automatically simplifying results. Mixed numbers are commonly used in cooking, construction, and everyday measurements, while improper fractions are useful for mathematical operations.
Mixed number conversion formulas
Mixed to improper: (whole * denominator + numerator) / denominator
Improper to mixed: whole = numerator / denominator, remainder = numerator % denominator
Conversion examples
| Mixed number | Improper fraction | Decimal |
|---|---|---|
| 1 1/2 | 3/2 | 1.50 |
| 2 3/4 | 11/4 | 2.75 |
| 3 1/3 | 10/3 | 3.333 |
| 4 2/5 | 22/5 | 4.40 |
| 5 5/8 | 45/8 | 5.625 |
Mixed number calculator: frequently asked questions
What is a mixed number?
A mixed number combines a whole number and a proper fraction. For example, 2 3/4 (two and three-quarters) is a mixed number. It represents 2 + 3/4 = 11/4. Mixed numbers are commonly used in cooking, measurements, and everyday language.
What is an improper fraction?
An improper fraction has a numerator that is greater than or equal to its denominator. For example, 11/4 is improper because 11 is greater than 4. Improper fractions and mixed numbers represent the same value but in different forms.
How do I convert a mixed number to an improper fraction?
Multiply the whole number by the denominator and add the numerator to get the new numerator. Keep the denominator the same. For example, 2 3/4 = (2 * 4 + 3)/4 = 11/4.
How do I convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator. For example, 11/4 = 2 remainder 3, so 11/4 = 2 3/4.
How do I add mixed numbers?
Add the whole numbers separately from the fractions. For example, 2 1/4 + 1 1/2 = (2+1) + (1/4 + 1/2) = 3 + 3/4 = 3 3/4. If the fraction part exceeds one, convert to a mixed number.
Official sources
- Standard mathematical formulas for mixed number conversion.
- NIST Special Publication 330: The International System of Units.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.