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9. structure write a division equation represented by the model.

Question

  1. structure write a division equation represented by the model.

Explanation:

Step1: Analyze the model

Assume the total length of the bar is 1 (or a whole unit), and it's divided into 3 equal parts (visually, the bar has 3 sections of equal length). Wait, maybe the total is a fraction? Wait, looking at the model, maybe the total is $\frac{3}{4}$? No, wait, let's re - examine. Suppose the entire bar represents a value, and it's divided into 3 groups. Wait, maybe the total is $\frac{3}{4}$? No, let's think again. Let's assume that the shaded (or the total) is $\frac{3}{4}$? Wait, no, maybe the total length is 1, and it's divided into 3 parts? Wait, no, the model: let's say the bar is divided into 3 equal - sized sub - bars, and the total of the bar is $\frac{3}{4}$? No, maybe the total is $\frac{3}{4}$ and it's divided by 3? Wait, no, let's look at the number of parts. Wait, the bar has 3 sections, each with 4 small parts? Wait, maybe the total is $\frac{3}{4}$ (if each small part is $\frac{1}{12}$, but no). Wait, another approach: if the bar is divided into 3 equal groups, and the total of the bar is $\frac{3}{4}$, then the division equation would be $\frac{3}{4}\div3=\frac{1}{4}$. Wait, let's check: $\frac{3}{4}$ divided by 3. When dividing a fraction by a whole number, we multiply by the reciprocal. So $\frac{3}{4}\times\frac{1}{3}=\frac{3\times1}{4\times3}=\frac{1}{4}$. So the division equation represented by the model (assuming the total is $\frac{3}{4}$ and divided into 3 equal parts) is $\frac{3}{4}\div3 = \frac{1}{4}$.

Step2: Verify the division

$\frac{3}{4}\div3=\frac{3}{4}\times\frac{1}{3}=\frac{1}{4}$. So the division equation is $\frac{3}{4}\div3=\frac{1}{4}$.

Answer:

$\frac{3}{4}\div3=\frac{1}{4}$ (or other possible correct equations based on the exact model, but this is a common interpretation)

Alternative Explanation (if the total is 1 and divided into 3 parts of $\frac{1}{3}$ each, but the model seems to have a fractional total). Wait, another way: if the bar is $\frac{3}{4}$ long and divided into 3 equal parts, each part is $\frac{1}{4}$. So the equation is $\frac{3}{4}\div3=\frac{1}{4}$.