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.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).
4.NF.C. Understand decimal notation for fractions, and compare decimal fractions.
4.NF.C.5. Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3∕10 as 30∕100, and add 3∕10 + 4∕100 = 34∕100.
4.NF.C.6. Use decimal notation to represent fractions with denominators 10 or 100. For example, rewrite 0.62 as 62∕100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.