An improper fraction written in the form . In common usage such as cooking recipes, is often written as n (e.g., 1 ), much to the chagrin of mathematicians, to whom n means , not . (The author of this work discovered this fact early in his mathematical career after having points marked off a calculus exam for using the recipe-like notation. Future mathematicians are therefore encouraged to avoid mixed fractions, except perhaps in the kitchen.)

 

Fraction, Improper Fraction, Proper Fraction