Massachusetts Curriculum Frameworks
MA.4.NF. Number and Operations—Fractions
4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
4.NF.B.3. Understand a fraction a∕b with a > 1 as a sum of fractions 1∕b.
4.NF.B.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (The whole can be a set of objects.)
4.NF.B.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
4.NF.B.4.a. Understand a fraction a∕b as a multiple of 1∕b. For example, use a visual fraction model to represent 5∕4 as the product 5 x (1∕4), recording the conclusion by the equation 5∕4 = 5 x (1∕4).