Question

use the area model to write a fraction equivalent to \\(\frac{1}{3}\\).
the area model shows the fraction \\(\square\\) is equivalent to \\(\frac{1}{3}\\).

Explanation:

Step1: Analyze the area model

The original rectangle is divided into 3 columns (representing $\frac{1}{3}$ for the green part initially). Then, it's also divided into 2 rows, so the total number of small rectangles (units) becomes $3\times2 = 6$.

Step2: Determine the equivalent fraction

The green area now covers 2 small rectangles out of 6. So the fraction is $\frac{2}{6}$, and we can check that $\frac{1}{3}=\frac{1\times2}{3\times2}=\frac{2}{6}$ by the property of equivalent fractions (multiplying numerator and denominator by the same non - zero number).

Answer:

$\frac{2}{6}$