Question

janae hikes \\(\frac{2}{3}\\) of a 12 - mile trail. she wants to know how many miles she hikes. \\(\frac{1}{3}\times12 = \frac{12}{3}\\) \\(= 4\\) which expressions are equivalent to \\(\frac{2}{3}\times12\\)? choose all the correct answers. \\(2\times4\\) \\(3\times\frac{12}{3}\\) \\(2\times\frac{12}{3}\\) \\(1\times\frac{12}{3}\\) \\(3\times4\\)

Explanation:

Step1: Calculate target expression

$\frac{2}{3} \times 12 = 8$

Step2: Evaluate each option

• $2 \times 4 = 8$
• $3 \times \frac{12}{3} = 12$
• $2 \times \frac{12}{3} = 2 \times 4 = 8$
• $1 \times \frac{12}{3} = 4$
• $3 \times 4 = 12$

Step3: Match equal results

Identify expressions equal to 8.

Answer:

$2 \times 4$, $2 \times \frac{12}{3}$