Skill: Convert improper fractions to mixed numbers

An improper fraction with a numerator at least as large as its nonzero denominator represents one or more wholes and a possible fractional remainder; dividing the numerator by the denominator gives the whole-number quotient and remainder, producing the equivalent mixed number $\text{quotient } \frac{\text{remainder}}{\text{denominator}}$. The remainder fraction is less than one and retains the original denominator, supporting interpretation on number lines and later work with equivalent fractions and operations; this scope focuses on positive fractions rather than negative or more generalized forms.