Section A Section A Checkpoint

Problem 1

Five friends equally share 3 liters of water. How many liters of water does each person get? Explain or show your reasoning.

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Solution

$\frac{3}{5}$ liter. Sample response:

<p>3 diagrams of equal length. 5 parts. 1 part shaded. Total length, 1 liter.</p>

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Sample Response

$\frac{3}{5}$ liter. Sample response:

Problem 2

Write a division equation that matches the diagram. Explain or show your reasoning.

4 diagrams of equal length. 3 equal parts. 1 part shaded. Total length, 1.

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Solution

4 \div 3 = \frac{4}{3}

. Sample response: There are 4 wholes and they are divided into three equal shares. One of those shares is shaded and that’s

\frac{4}{3}

total shaded.

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Sample Response

4 \div 3 = \frac{4}{3}

. Sample response: There are 4 wholes and they are divided into three equal shares. One of those shares is shaded and that’s

\frac{4}{3}

total shaded.

Problem 3

Explain why $10 \div 4 = \frac{10}{4}$ .

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Solution

Sample response: If I divide 10 things each into 4 equal shares and take one of each, it is $10 \div 4$ since there are 4 equal shares in 10. Since each share is $\frac{1}{4}$ and there are 10 of those shares, one for each thing, that’s also $\frac{10}{4}$ .

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Sample Response