Question

choose and collect representations of the model shown.

Explanation:

Step1: Analyze the first rectangle

The first rectangle is divided into 4 equal parts, and 3 parts are shaded. So the fraction for the first rectangle is $\frac{3}{4}$.

Step2: Analyze the second rectangle

The second rectangle is also divided into 4 equal parts, and 1 part is shaded (the light - shaded part). Wait, maybe we are looking at the operation between them. If we consider the shaded parts, maybe we are adding or multiplying? Wait, maybe the model is about fraction multiplication. Let's assume the first rectangle represents $\frac{3}{4}$ and the second rectangle, if we take the shaded part of the second rectangle as $\frac{1}{2}$ (wait, no, the second rectangle is divided into 4 parts, 2 parts are light - shaded? Wait, maybe I mis - see. Wait the first rectangle: 4 horizontal strips, 3 dark green. Second rectangle: 4 horizontal strips, 2 light blue? Wait, maybe the problem is to find the product of $\frac{3}{4}$ and $\frac{1}{2}$? Wait, no, let's re - examine.

Wait, the first figure: a square divided into 4 equal horizontal rectangles, 3 are colored (say, green). The second figure: a square divided into 4 equal horizontal rectangles, 1 or 2? Wait, maybe the first figure is $\frac{3}{4}$ and the second figure, if we take the overlapping or the operation. Wait, maybe the model is $\frac{3}{4}\times\frac{1}{2}$. Let's calculate that. $\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}$.

Wait, maybe the first rectangle is $\frac{3}{4}$ and the second rectangle, when we take a part of it, like $\frac{1}{2}$ of the $\frac{3}{4}$. So step by step:

1. Represent the first fraction: The first square is divided into 4 equal parts, 3 are shaded, so fraction is $\frac{3}{4}$.
2. Represent the second fraction: The second square, if we consider the part we are taking from the first shaded part. If the second square is divided into 2 equal parts (maybe vertically? No, it's horizontal). Wait, maybe the second square is divided into 4 parts, and we are taking 1 part out of 2? Wait, I think I made a mistake. Let's start over.

Looking at the two figures:

First figure: 4 horizontal rows, 3 filled (dark green). So fraction: $\frac{3}{4}$.

Second figure: 4 horizontal rows, 2 filled (light blue). Wait, no, the second figure has 4 rows, 2 light blue and 2 white? Wait, maybe the operation is $\frac{3}{4}\times\frac{1}{2}$. Let's compute that.

$\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}$.

Answer:

If we assume the model is fraction multiplication of $\frac{3}{4}$ and $\frac{1}{2}$, the result is $\frac{3}{8}$.