Mixed Fraction

A mixed fraction is an improper fraction  written in the form . In common usage such as cooking recipes,  is often written as   (e.g., 1 ), much to the chagrin of mathematicians, to whom   means , which is quite a different beast from .

(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.)