Fraction to Mixed Number Converter

An improper fraction has a numerator greater than or equal to its denominator, for example 7/4. A mixed number writes the same quantity as a whole part plus a proper fraction, 1 3/4. The two notations name one and the same value; only the way of writing it changes.

Divide the numerator by the denominator: the quotient becomes the whole part, the remainder becomes the new numerator and the denominator stays the same. For 7/4 the division gives 1 with a remainder of 3, so 7/4 = 1 3/4; a remainder of 0 means the fraction was a whole number all along.

A proper fraction, whose numerator is smaller than its denominator, has no whole part to extract: its whole part is 0 and the mixed form is the fraction itself. That is why the converter asks for a numerator greater than or equal to the denominator.