Calculadora de Número Misto
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
a/b = q + r/b (q = quociente, r = resto)
About this calculator
The Mixed Number Calculator converts an improper fraction (numerator greater than denominator) into a mixed number, which is the sum of a whole number and a proper fraction. For example, the fraction 7/3 is transformed into 2 1/3. The process uses integer division: the quotient becomes the whole part, and the remainder over the original denominator forms the proper fraction.
The operation is simple: enter the numerator and denominator of the improper fraction. The calculator performs integer division (quotient and remainder) and displays the result in the format 'whole + proper fraction'. Additionally, it shows the corresponding decimal value, useful for comparisons or arithmetic operations. The formula used is: a/b = q + r/b, where q is the quotient and r is the remainder.
Use this calculator in situations such as: simplifying fractions in cooking recipes (e.g., 5/4 cup becomes 1 1/4 cup), converting measurements in woodworking projects, or assisting students learning fractions. It is also useful for professionals dealing with ratios who need a more intuitive representation.
Precautions: ensure the numerator is greater than the denominator for the result to be a mixed number. If the fraction is proper (numerator smaller), the calculator will return only the fraction, without a whole part. Also, verify that the denominator is not zero, as division is undefined. Always simplify the resulting proper fraction if possible to avoid confusion.
Frequently asked questions
What is a mixed number?
It is the combination of a whole number and a proper fraction, like 2 1/3, meaning 2 + 1/3.
How to convert an improper fraction to a mixed number manually?
Divide the numerator by the denominator: the quotient is the whole part, and the remainder over the denominator forms the proper fraction.
Does this calculator work with proper fractions?
Yes, but if the numerator is smaller than the denominator, the result will be just the fraction, without a whole part.
What if the denominator is zero?
Division by zero is undefined; the calculator will display an error or indicate that the operation is invalid.
Can I use decimal numbers as input?
No, the calculator accepts only whole numbers for numerator and denominator.