Multiply by Fractions
4th Grade


Alabama Course of Study Standards:
16.a

Model and explain how a nonunit fraction can be represented by a whole number times the unit fraction. Example: 9/8 = 9 × 1/8 
Arkansas Academic Standards:
4.NF.B.4.A

Understand a fraction a/b as a multiple of 1/b (e.g., 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)) 
Arizona  K12 Academic Standards:
4.NF.B.4a

Understand a fraction a/b as a multiple of 1/b. In general, a/b = a × 1/b. 
Common Core State Standards:
Math.4.NF.4a or 4.NF.B.4.A
Kentucky Academic Standards (KAS):
4.NF.4.a
Mississippi College and CareerReadiness Standards:
4.NF.4a

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). 
North Carolina  Standard Course of Study:
4.NF.4.a

Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one. 
New York State Next Generation Learning Standards:
4.NF.4.a

Understand a fraction a/b as a multiple of 1/b. e.g., Use a visual fraction model to represent 5/4 as the product 5 × 1/4, recording the conclusion with the equation 5/4 = 5 × 1/4. 
Ohio's Learning Standards:
4.NF.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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4) or 5/4 = (1/4) + (1/4) + (1/4) + (1/4) + (1/4). 
Wisconsin Academic Standards:
4.NF.B.4.a

Understand a fraction as a group of unit fractions or as a multiple of a unit fraction. For example, 5/4 can be represented visually as 5 groups of 1/4, as a sum of unit fractions 1/4 + 1/4 + 1/4 + 1/4 + 1/4, or as a multiple of a unit fraction 5 × 1/4. 
Alabama Course of Study Standards:
16.b

Extend previous understanding of multiplication to multiply a whole number times any fraction less than one. Example: 4 × 2/3 = (4 × 2)/3 = 8/3 
Arkansas Academic Standards:
4.NF.B.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 (e.g., 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)) 
Arizona  K12 Academic Standards:
4.NF.B.4b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole
number by a fraction. In general, n × a/b = (n × a)/b. 
Common Core State Standards:
Math.4.NF.4b or 4.NF.B.4.B
Kentucky Academic Standards (KAS):
4.NF.4.b
Mississippi College and CareerReadiness Standards:
4.NF.4b

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.) 
North Carolina  Standard Course of Study:
4.NF.4.b

Solve word problems involving multiplication of a fraction by a whole number. 
New York State Next Generation Learning Standards:
4.NF.4.b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction. e.g., 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. 
Ohio's Learning Standards:
4.NF.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.) 
Tennessee Academic Standards:
4.NF.B.4.b

Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a whole number by a fraction. 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 = (n × a) × 1/b.) 
Wisconsin Academic Standards:
4.NF.B.4.b

Represent a whole number times a nonunit fraction (e.g., 3 × 2/5) using visual fraction models and understand this as combining equal groups of the nonunit fraction (3 groups
of 2/5) and as a collection of unit fractions (6 groups of 1/5), recognizing this product as 6/5. 
Pennsylvania Core Standards:
CC.2.1.4.C.2

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. 
Pennsylvania Core Standards:
M04.AF.2.1.5

Multiply a whole number by a unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number). 
Pennsylvania Core Standards:
M04.AF.2.1.6

Multiply a whole number by a nonunit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number). 
Florida  Benchmarks for Excellent Student Thinking:
MA.4.FR.2.4

Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction. 
Florida  Benchmarks for Excellent Student Thinking:
MA.4.AR.1.3

Solve realworld problems involving multiplication of a fraction by a whole number or a whole number by a fraction. 
