Overview
A mixed number combines a whole number and a fraction, such as 2 1/2. This calculator converts it to an improper fraction, shows its decimal value, and then simplifies it to its lowest terms.
Formula
Improper fraction = (whole number × denominator + numerator) ÷ denominator.
How it works
Enter the parts
Type the whole number, numerator and denominator.
Convert to an improper fraction
Multiply the whole number by the denominator and add the numerator.
Simplify and convert back
Divide by the greatest common divisor, then extract the whole part.
Worked examples
Example 1: 2 1/2
(2 × 2 + 1) ÷ 2 = 5/2 = 2.5.
Example 2: 1 3/4
(1 × 4 + 3) ÷ 4 = 7/4 = 1.75.
Frequently asked questions
Can the numerator be larger than the denominator?
Yes. The number is simplified and rewritten correctly.
Does it support negative numbers?
Yes. The whole number can be negative, and the sign is handled consistently.
What is the difference between an improper fraction and a mixed number?
An improper fraction has a numerator greater than or equal to its denominator, while a mixed number separates the whole part from the fraction.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.