Mixed Number to Improper Fraction Calculator
Convert a mixed number like 2 3/4 into an improper fraction, and see it reduced to lowest terms.
How it works
Improper numerator = (Whole × Denominator) + Numerator · keep the same Denominator
A mixed number splits a value into a whole part and a proper fraction. To merge them, express the whole part in the same-sized pieces as the fraction — multiply it by the denominator — then add the numerator. The denominator stays the same because the size of each piece has not changed.
Worked example
For 2 3/4, multiply the whole number 2 by the denominator 4 to get 8, then add the numerator 3 for 11. The improper fraction is 11/4.
Frequently asked questions
What is an improper fraction?
An improper fraction has a numerator greater than or equal to its denominator, such as 11/4. It represents a value of one or more wholes written as a single fraction.
How do I convert back to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder over the denominator is the fraction: 11 ÷ 4 = 2 remainder 3, so 2 3/4.
What if the whole number is negative?
The whole number carries the sign of the entire mixed number, so -2 3/4 becomes -11/4. This tool applies the sign to the combined improper fraction.
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This calculator is for educational purposes. Double-check important results before acting on them.