Fraction to Mixed Number Converter

Convert an Improper Fraction to a Mixed Number

Fraction to Mixed Number Converter

How to write an improper fraction as a mixed number

Example — the form’s default 4/3:

4/3: 1 whole and 1/3

4/3 = 1 × 3/3 + 1/3 = 1 1/3

Divide the numerator by the denominator: the quotient is the whole part, the remainder stays over the same denominator.

Most asked
Fraction	Mixed number
15/2	7 1/2
23/6	3 5/6
31/9	3 4/9
81/9	9

FAQ

What is an improper fraction and what is a mixed number?

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.

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

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.

Why does the calculator refuse a fraction like 2/3?

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.

Fraction to Mixed Number Converter