Mixed Fraction Converter

Convert improper fractions to mixed numbers and mixed numbers to improper fractions.

\frac{a}{b} = q \frac{r}{b} \quad (a = q \times b + r)

Result

Step-by-Step Calculation & Explanation

An improper fraction has a numerator larger than or equal to the denominator. To convert it to a mixed number, perform integer division (quotient is the whole number, remainder is the new numerator). To convert a mixed number back, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.