Convert improper fractions to mixed numbers and vice versa. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Fraction Input
Mixed Number Result
Result
2 \frac{1}{3}
Step-by-Step Conversion
1Divide 7 by 3 to get 2 with a remainder of 1.
2The whole number part is 2.
3The remainder 1 becomes the numerator over the original denominator 3.
About this calculator
Proper vs. Improper Fractions
A fraction is proper if the numerator is smaller than the denominator (e.g., 1/2). It is improper if the numerator is larger or equal (e.g., 7/3 or 11/11).
💡
Pro Tips
Divide the numerator by the denominator. The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same.
!
Fun Facts
"Any integer can be written as an improper fraction by using 1 as the denominator (5 = 5/1)."
"Improper fractions are often easier to use in calculations (multiplication/division) than mixed numbers."
"The word 'fraction' comes from the Latin word 'fractio' which means 'to break'."
