CC.2.1.4.C.2 M04.A-F.2.1.5 M04.A-F.2.1.6 MA.4.FR.2.4 Math.4.NF.4a 4.NF.B.4.A Math.4.NF.4b 4.NF.B.4.B MA.4.AR.1.3

Common Core Standards Multiply by Fractions
Grade:	4th Grade
Standard:	CC.2.1.4.C.2
Description:	Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:	M04.A-F.2.1.5
Description:	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).
Standard:	M04.A-F.2.1.6
Description:	Multiply a whole number by a non-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).
Standard:	MA.4.FR.2.4
Description:	Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
Standard:	Math.4.NF.4a or 4.NF.B.4.A
Description:	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).
Standard:	Math.4.NF.4b or 4.NF.B.4.B
Description:	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.)
Standard:	MA.4.AR.1.3
Description:	Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.

A fraction with a numerator greater than 1 can be written as the
sum of unit fractions with the same denominator as the fraction.

A fraction with a numerator greater than 1 can also be written as a
multiple of a unit fraction with the same denominator as the fraction.

The fraction

\frac{5}{6}

is five parts of a whole divided into six equal parts.

Five-sixths can be separated into five equal parts that are each

\frac{1}{6}

of the whole.

So,

\frac{5}{6}

is equal to the sum of five

\frac{1}{6}

's.

\frac{5}{6} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}

The sum of five

\frac{1}{6}

's can be thought of as five groups of

\frac{1}{6}

.
This can be written as the product of 5 and

\frac{1}{6}

\frac{5}{6} = 5 \times \frac{1}{6}

Common Core Standards

Multiply by Fractions

CC.2.1.4.C.2

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

M04.A-F.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).

M04.A-F.2.1.6

Multiply a whole number by a non-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).

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.

Math.4.NF.4a or 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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

Math.4.NF.4b or 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. 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.)

MA.4.AR.1.3

Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.

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