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Fraction Simplifier & Mixed Number Converter

Reduce fractions to simplest form, convert between improper and mixed numbers, and follow each Euclidean gcd step with classroom-friendly visuals.

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Fraction input
Mixed number input

Use To Improper for mixed inputs. Ensure 0 ≤ remainder < denominator.

This calculator is provided for educational guidance only.

Results

Simplified:
Mixed form:
GCD:
Decimal:
LaTeX:
Steps

    Visualization

    Pie representation

    Number line representation

    FAQ

    How are the simplification steps generated?

    The calculator logs the Euclidean algorithm: we compute gcd(|a|,|b|) with repeated division, then show how a/b becomes (a/g)/(b/g).

    Can I convert negative mixed numbers?

    Yes. Toggle To Improper, enter the sign, whole part, remainder, and denominator; the sign is moved to the numerator and the denominator stays positive.

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