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Convert improper ⇄ mixed

Mixed & improper, step by step.

Enter an improper fraction and see it written as a mixed number — how many wholes, and what's left over.

Enter a fraction

Or type a whole/mixed value in any box. Steps update as you type.

The steps

Result

    See it

    An improper fraction has a top bigger than its bottom. To write it as a mixed number, divide to find how many whole times the denominator fits, and keep the remainder as a fraction.

    FractionSteps shows the whole-number part and the leftover clearly.

    Worked examples

    7/3
    = 2 1/3
    9/4
    = 2 1/4
    11/2
    = 5 1/2
    5/3
    = 1 2/3

    Frequently asked

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

    Divide the numerator by the denominator. The whole-number part is the quotient, and the remainder becomes the new numerator over the same denominator.

    How do I go the other way?

    To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and put that over the denominator. Type a mixed number like 2 1/3 into the calculator to see it.

    Is 5/3 improper?

    Yes — the top (5) is larger than the bottom (3), so it is improper and equals 1 2/3.