Students interpret, represent, and locate positive fractions, proper fractions, improper fractions, and mixed numbers using area, set, and number-line models, including unit fractions and fractions greater than one. They recognize, generate, and simplify equivalent fractions; decompose fractions into sums of like-denominator unit fractions; compare and order fractions using common numerators or denominators, benchmarks, equivalent fractions, and number lines. They add and subtract fractions and mixed numbers with like denominators, multiply fractions by whole numbers, and solve related word problems, including regrouping and expressing results as mixed numbers when appropriate.