Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. 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). Understand a fraction a/b as a multiple of 1/b. by using visual fraction models and equations to represent the problem.Īpply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g. 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 + 1/8Īdd 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.
Justify decompositions, e.g., by using a visual fraction model. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.ĭecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Record the results of comparisons with symbols >, =, 1 as a sum of fractions 1/b. Recognize that comparisons are valid only when the two fractions refer to the same whole. by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Use this principle to recognize and generate equivalent fractions.Ĭompare two fractions with different numerators and different denominators, e.g. Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two frations themselves are the same size.
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