Whole, including cases of unlike denominators, using visual fraction models or equations to represent the Model and solve real-word problems involving addition and subtraction of fractions referring to the same Justify using visual models (e.g., tape diagrams or number lines) and equations.įor example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. In general, a/b + c/d = (a/b x d/d) + (c/d x b/b) = (ad + bc)/bd.Īdd and subtract fractions and mixed numbers using flexible and efficient strategies, including renaming fractions with equivalent fractions. New York State Next Generation Learning Standards:Īdd and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.Īdd and subtract fractions with unlike denominators (including mixed numbers and fractions greater than 1) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. Represent the word problem in an equation. Solve one- and two-step word problems in context using area and length models to develop the algorithm.Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.North Carolina - Standard Course of Study:Īdd and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths thirds, sixths, and twelfths fifths, tenths, and hundredths. Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators. Note: The focus of this standard is applying equivalent fractions, not necessarily finding least common denominators or putting results in simplest form.Īdd and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators (e.g., 2/3 + 5/4 = 8/12 + 15/12 = 23/12).Īdd and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence toĬalculate a sum or difference of fractions or mixed numbers with like denominators.Įfficiently, accurately, and with some degree of flexibility, add and subtract fractions with unlike denominators (including mixed numbers) using equivalent fractions and common denominatorsįor example: Understand that 2/3 + 5/4 = 8/12 + 15/12 = 23/12 (In general, a/b + c/d = (ad + bc)/bd)
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