Use the image to answer the question.

A rectangle is divided into 16 equal parts as two rows and eight columns. The first three parts in each of the two rows are shaded. The three shaded parts of the first row are further shaded using diagonal lines.

Interpret the model to determine the fraction used to divide 3/8
.

(1 point)
Responses

58
Start Fraction 5 over 8 End Fraction

12
Start Fraction 1 over 2 End Fraction

1016
Start Fraction 10 over 16 End Fraction

34
Start Fraction 3 over 4 End Fraction
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1 answer

To interpret the model:

The rectangle is divided into 16 equal parts, and since it is divided into 2 rows and 8 columns, each part represents \( \frac{1}{16} \) of the whole rectangle.

Out of the 16 parts, the first 3 parts in each of the two rows are shaded, making a total of 6 shaded parts. This can be represented as:

\[ \frac{6}{16} \]

Now, simplify \( \frac{6}{16} \):

\[ \frac{6 \div 2}{16 \div 2} = \frac{3}{8} \]

Thus, \( \frac{3}{8} \) is the fraction used to divide 3 out of the 8 shaded parts.

Considering the choices given, the correct response to the interpretation of the model and the fraction used to divide \( \frac{3}{8} \) is:

34 Start Fraction 3 over 4 End Fraction