WorkedMathGlossary

Mixed Number Calculator

Convert between improper fractions and mixed numbers below.

Mixed Number
2 3/4

Improper Fraction to Mixed Number

Divide the numerator by the denominator. The whole-number quotient stays out front, and the remainder becomes the new numerator over the same denominator.

Worked example

Convert 11/4 to a mixed number.

11 ÷ 4 = 2 remainder 3

Mixed number: 2 3/4

Frequently Asked Questions

How do you convert an improper fraction to a mixed number?

Divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the original denominator becomes the fraction part.

How do you convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and put that total over the same denominator.

What's the difference between a mixed number and an improper fraction?

They represent the same value — a mixed number (like 2 3/4) splits it into a whole part and a fraction part, while an improper fraction (like 11/4) keeps it as one fraction larger than 1.

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