Number and Operations – Fractions

4.NF.1Using visual fraction models, explain why a fraction a/b is equivalent to a fraction (n X a)/(n x b). Use this principle to recognize and generate equivalent fractions. Attention should focus on how the number and size of the parts differ even though the two fractions themselves are the same size.4.NF.2By creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2, compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.4.NF.3Understand a fraction a/b with a > 1 as a sum of unit fractions 1/b.4.NF.4Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.4.NF.5Express a fraction with denominator 10 as an equivalent fraction with denominator 100. Use this technique to add two fractions with respective denominators 10 and 100.4.NF.6Use decimal notation for fractions with denominators 10 or 100.4.NF.7Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
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