CC.2.1.5.C.2 MA.5.FR.2.4 M05.A-F.2.1.4 Math.5.NF.7a 5.NF.B.7.A Math.5.NF.7b 5.NF.B.7.B

Common Core Standards Divide Unit Fractions & Whole Numbers
Grade:	5th Grade
Standard:	CC.2.1.5.C.2
Description:	Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:	MA.5.FR.2.4
Description:	Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.
Standard:	M05.A-F.2.1.4
Description:	Divide unit fractions by whole numbers and whole numbers by unit fractions.
Standard:	Math.5.NF.7a or 5.NF.B.7.A
Description:	Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Standard:	Math.5.NF.7b or 5.NF.B.7.B
Description:	Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

When dividing a unit fraction by a whole number, it can help
to think of dividing the unit fraction into equal parts.

One way to divide

\frac{1}{5}

by 6 is to think of it as

\frac{1}{5}

divided into 6 equal parts.

First, represent

\frac{1}{5}

with a model.

Then, divide the part of the model that represents

\frac{1}{5}

into 6 equal parts.

→

One of these parts represents

\frac{1}{30}

of the original whole.

So,

\frac{1}{5} \div 6 = \frac{1}{30}

Common Core Standards