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}\times3\\)? \\(3\div5\\) find the quotient. \\(3\div5 = \frac{1}{?}\\)

Explanation:

Step1: Calculate cooked rice amount

To find $\frac{4}{5}$ of 3 cups, multiply:
$\frac{4}{5} \times 3 = \frac{12}{5} = 2.4$

Step2: Verify equivalent expression

A fraction times a number equals division:
$\frac{1}{5} \times 3 = 3 \div 5$

Step3: Compute 3 divided by 5

Perform the division:
$3 \div 5 = \frac{3}{5} = 0.6$

Answer:

1. Cups of rice Sue cooks: $2.4$ (or $\frac{12}{5}$)
2. Equivalent expression: $3 \div 5$
3. Quotient of $3 \div 5$: $0.6$ (or $\frac{3}{5}$)