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.

1 answer

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.