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8.11 Divide unit fractions by whole numbers

Interactive practice questions

Let's use the image below to help us find the value of $\frac{1}{3}\div4$13÷​4. This number line shows the number $1$1 split into $3$3 parts of size $\frac{1}{3}$13.

a

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Which image shows that each third has been divided into $4$4 parts?

013231

A

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B

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C
b

What is the size of the part created when $\frac{1}{3}$13 is divided by $4$4?

Easy
1min

Let's use the image below to help us find the value of $\frac{1}{4}\div4$14÷​4. This number line shows the number $1$1 split into $4$4 parts of size $\frac{1}{4}$14.

Easy
1min

Let's use the image below to help us find the value of $\frac{1}{5}\div3$15÷​3. This number line shows the number $1$1 split into $5$5 parts of size $\frac{1}{5}$15.

Easy
1min

The rectangle below is broken into parts of $\frac{1}{2}$12 each. Let's use this image to help us find the answer to $\frac{1}{2}\div2$12÷​2.

Medium
1min
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Outcomes

5.NF.B.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

5.NF.B.7a

A. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. Use the relationship between multiplication and division to justify conclusions.

5.NF.B.7b

B. 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 justify conclusions (e.G., 4 ÷ (1/5) = 20 Because 20 x (1/5) = 4).

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