4.NF.B.3: Understand a fraction a∕b with a > 1 as a sum of fractions 1∕b.

Understand a fraction a∕b with a > 1 as a sum of fractions 1∕b.

4.NF.B.3.aUnderstand 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.3.bDecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using drawings or visual fraction models. Examples: 3∕8 = 1∕8 + 1∕8 + 1∕8; 3∕8 = 1∕8 + 2∕8; 2 1∕8 = 1 + 1 + 1∕8 = 8∕8 + 8∕8 + 1∕8.4.NF.B.3.cAdd and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.4.NF.B.3.dSolve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using drawings or visual fraction models and equations to represent the problem.
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