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 38 .
(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
34
Start Fraction 3 over 4 End Fraction
1016
Start Fraction 10 over 16 End Fraction
58
Start Fraction 5 over 8 End Fraction
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To find the fraction used to divide 38, we need to count the number of shaded parts in the image.
In the first row, there are 3 shaded parts out of 8 total parts. This can be represented as 3/8.
Since the shaded parts in the first row are further shaded with diagonal lines, we need to count them as well. There are 3 shaded parts out of the 3 shaded parts in the first row.
So the total number of shaded parts is 3 (from the first row) + 3 (from the diagonal lines) = 6.
Since there are 16 equal parts in total, the fraction used to divide 38 is 6/16.
Simplifying this fraction, we get 3/8.
Therefore, the fraction used to divide 38 is 3/8.