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- Common Core MathK - 8High School

# Grade 4: Number and Operations: Fractions

887 questions50 skills

# Grade 4: Number and Operations: Fractions

887 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*.Write mixed numbers and improper fractions

Add and subtract mixed numbers (no regrouping)

Add fractions with common denominators

Subtract fractions with common denominators

Add and subtract mixed numbers (with regrouping)

Add and subtract fractions word problems (same denominator)

Decompose fractions

Add and subtract mixed numbers word problems (like denominators)

## 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.

Multiply fractions and whole numbers on the number line

Multiply unit fractions and whole numbers

Multiply fractions and whole numbers word problems

Multiply fractions and whole numbers with fraction models

Equivalent whole number and fraction multiplication expressions

Multiply fractions and whole numbers

Multiply mixed numbers and whole numbers

Interpret multiplying fraction and whole number word problems

## 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.6

241 questions15 skills

Use decimal notation for fractions with denominators 10 or 100.

Write decimals as fractions

Decimals on the number line: tenths

Decimals on the number line: hundredths

Write decimals and fractions greater than 1 shown on grids

Write decimals and fractions shown on number lines

Write common fractions as decimals

Write common decimals as fractions

Relate decimals and fractions in words

Decimals on the number line: hundredths 0-0.1

Write fractions as decimals (denominators of 10 & 100)

Write decimals and fractions shown on grids

Write decimals and fractions greater than 1 shown on number lines

Decimals in words

Decimal place value with regrouping

Decimals on the number line: tenths 0-1

## 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.