Use the image to answer the question.



A rectangle is divided into 12 equal parts as four rows and three columns. The first part in each of the four rows are shaded. The one shaded part of the first row is further shaded using diagonal lines.
Interpret the model to determine the fraction used to divide 1/3
.

(1 point)
Responses

14
Start Fraction 1 over 4 End Fraction

43
Start Fraction 4 over 3 End Fraction

112
Start Fraction 1 over 12 End Fraction

34
Start Fraction 3 over 4 End Fraction
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1 answer

Based on the description provided, we have a rectangle divided equally into 12 parts, comprised of 4 rows and 3 columns. Each part is a fraction of the whole, specifically \( \frac{1}{12} \).

The problem describes that the first part of each of the four rows is shaded, indicating that 4 of the 12 parts are shaded. Therefore, the shaded area represents \( \frac{4}{12} \) of the whole rectangle, which simplifies to \( \frac{1}{3} \).

The part that is further shaded in the first row with diagonal lines likely indicates a division of one of those shaded sections. Since one of the shaded sections is further divided, it is common to interpret this as a concept of splitting that section, leading to further discussion of fractions.

If we focus on how much of the whole rectangle that represents, we can derive a fraction of the previously mentioned \( \frac{1}{3} \). When interpreting the model to determine the fraction used for dividing \( \frac{1}{3} \) based on the further shading:

  • The further shading of one part in the \( \frac{1}{3} \) area suggests \( \frac{1}{4} \) of that area in particular.

To conclude, the relevant fraction for dividing \( \frac{1}{3} \) based on the scenario described is:

Start Fraction 1 over 4 End Fraction (1/4).

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