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sue cooks \\(\frac{4}{5}\\) of a 3 - cup box of rice. she wants to know…

Question

sue cooks \\(\frac{4}{5}\\) of a 3 - cup box of rice. she wants to know how many cups of rice she cooks. which expression is equivalent to \\(\frac{1}{5} \times 3\\)? \\(3\div5\\) \\(5\div1\\) \\(5\div3\\) \\(3\div1\\)

Explanation:

Response
First Problem (Sue's Rice)

Step1: Multiply fraction by total cups

$\frac{4}{5} \times 3 = \frac{12}{5}$

Step2: Convert to mixed number (optional)

$\frac{12}{5} = 2\frac{2}{5}$

Step1: Recall fraction multiplication rule

$\frac{1}{5} \times 3 = \frac{3}{5}$

Step2: Match to division form

$\frac{3}{5} = 3 \div 5$

Answer:

$\frac{12}{5}$ or $2\frac{2}{5}$ cups

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Second Problem (Equivalent Expression)