Grade 4 Number and Operations—Fractions Free Bundle

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This fantastic bundle includes FREE worksheets and quiz items about Number and Operations—Fractions. These ready-to-use Common Core-aligned, Grade 4 Math worksheets, are perfectly paired with premium End-of-Year test booklets.

Common Core Standards (4.NF)

Extend understanding of fraction equivalence and ordering.

1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b)
   by using visual fraction models, with attention to how the number and
   size of the parts differ even though the two fractions themselves are
   the same size. Use this principle to recognize and generate equivalent
   fractions.
2. Compare two fractions with different numerators and different
   denominators, e.g., by creating common denominators or numerators,
   or by comparing to a benchmark fraction such as 1/2. Recognize that
   comparisons are valid only when the two fractions refer to the same
   whole. Record the results of comparisons with symbols >, =, or <, and
3. justify the conclusions, e.g., by using a visual fraction model.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
   a. Understand addition and subtraction of fractions as joining and
   separating parts referring to the same whole.
   b. Decompose 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 a visual fraction model. 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.
   c. Add 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.
   d. Solve word problems involving addition and subtraction
   of fractions referring to the same whole and having like
   denominators, e.g., by using visual fraction models and equations
   to represent the problem.
4. Apply and extend previous understandings of multiplication to
   multiply a fraction by a whole number.
   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 × (1/4),
   recording the conclusion by the equation 5/4 = 5 × (1/4).
   b. 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 express 3 × (2/5) as 6 × (1/5),
   recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
   c. Solve word problems involving multiplication of a fraction by a
   whole number, e.g., by using visual fraction models and equations
   to represent the problem. For example, if each person at a party will
   eat 3/8 of a pound of roast beef, and there will be 5 people at the
   party, how many pounds of roast beef will be needed? Between what
   two whole numbers does your answer lie?

Understand decimal notation for fractions, and compare decimal fractions.

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 100.4 For example, express 3/10 as
   30/100, and add 3/10 + 4/100 = 34/100.
6. Use decimal notation for 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.
7. Compare 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, e.g., by using a visual
   model.

Resource Examples

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