Mixed Number to Improper Fraction Calculator

About this calculator

A mixed number like 2¾ combines a whole number with a fraction, while an improper fraction expresses the same quantity entirely as one fraction with a numerator larger than its denominator — 2¾ becomes 11/4. Converting between the two is done by multiplying the whole number by the denominator, adding the numerator, and keeping the same denominator (and reversing the process to go the other way).

Improper fractions are usually easier to multiply, divide, and combine in algebraic work, while mixed numbers are more intuitive for everyday reading — a recipe or a tape measure reads more naturally as 2¾ cups than 11/4 cups. Students and teachers use this conversion constantly in fraction arithmetic, and it's a standard step before multiplying or dividing fractions that include whole-number parts.