In what ways can fractions communicate numbers greater than one?

Students interpret improper fractions.

A fraction can represent quantities greater than one.

An improper fraction has a numerator that is greater than its denominator.

Natural numbers can be expressed as improper fractions with a denominator of 1.

A mixed number of the form A b/c, composed of a number of wholes,  A, and a fractional part, b/c, can represent an improper fraction.

Fractions allow counting and measuring between whole quantities.

Improper fractions and mixed numbers that represent the same number are associated with the same point on the number line.