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# Grade 4: Number and Operations: Fractions887 questions50 skills

## 4.NF.A.1

51 questions3 skills
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.

## 4.NF.A.2

104 questions6 skills
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 justify the conclusions, e.g., by using a visual fraction model.

## 4.NF.B.3

169 questions8 skills
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

## 4.NF.B.3a

58 questions3 skills
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

## 4.NF.B.3b

23 questions1 skill
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.

## 4.NF.B.3c

54 questions3 skills
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.

## 4.NF.B.3d

22 questions1 skill
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.NF.B.4

140 questions8 skills
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

## 4.NF.B.4a

81 questions5 skills
Understand a fraction a/b as a multiple of 1/b.

## 4.NF.B.4b

81 questions5 skills
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

## 4.NF.B.4c

38 questions2 skills
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.

## 4.NF.C.5

98 questions5 skills
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.NF.C.7

72 questions4 skills
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.