Mixed Number to Improper Fraction Calculator (and Back)

Use this free converter to switch between mixed numbers and improper fractions in both directions. Enter a mixed number to get the improper fraction, or an improper fraction to get the mixed number — each with the steps and the decimal value.

How to use the converter

1. Choose a direction: Mixed → Improper or Improper → Mixed.
2. Enter your value(s).
3. Read the converted form, the decimal, and the steps.

The conversions

Mixed to improper: multiply the whole number by the denominator and add the numerator — 2 3/4 = (2×4 + 3)/4 = 11/4. Improper to mixed: divide the numerator by the denominator; the quotient is the whole number and the remainder is the new numerator.

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Frequently asked questions

How do you turn a mixed number into an improper fraction?

Multiply the whole number by the denominator, add the numerator, and keep the same denominator: 2 3/4 = 11/4.

How do you turn an improper fraction into a mixed number?

Divide the numerator by the denominator. The quotient is the whole number and the remainder is the new numerator: 11/4 = 2 3/4.

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Does it reduce the result?

Yes — the fraction part is given in lowest terms.

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Read the full lesson: learn the method step by step.

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