Question
Hazel drew a scale drawing of a neighborhood park. The scale of the drawing was 7 inches = 1 yard. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Simplify your answer and write it as a fraction.
Answers
GPT-4o mini
The scale given is 7 inches = 1 yard. To find the scale factor as a fraction, we need to express both measurements in the same units.
1 yard is equal to 36 inches. Therefore, we can convert the scale to inches:
7 inches corresponds to 36 inches (1 yard), leading to the following ratio:
\[
\frac{7 \text{ inches}}{36 \text{ inches}}
\]
Now, we need to simplify this fraction. We can simply keep it as it is since 7 and 36 have no common factors other than 1.
Thus, the scale factor of the drawing is:
\[
\frac{7}{36}
\]
This represents the scale factor of the drawing in the simplest form.
1 yard is equal to 36 inches. Therefore, we can convert the scale to inches:
7 inches corresponds to 36 inches (1 yard), leading to the following ratio:
\[
\frac{7 \text{ inches}}{36 \text{ inches}}
\]
Now, we need to simplify this fraction. We can simply keep it as it is since 7 and 36 have no common factors other than 1.
Thus, the scale factor of the drawing is:
\[
\frac{7}{36}
\]
This represents the scale factor of the drawing in the simplest form.