https://file.aiquickdraw.com/mathbot/file/1726867050189ci5bjgvj.jpg

To determine the scale factor of the drawing, we are given:

- 9 inches in the drawing corresponds to 3 yards in real life.

We need to express this scale factor as a fraction, keeping in mind that we need to have the same units. Since the drawing uses inches, we need to convert the 3 yards into inches.

**Step 1: Convert yards to inches.**

- 1 yard = 36 inches
- Therefore, 3 yards = 3 × 36 = 108 inches.

**Step 2: Set up the scale factor.**

The scale factor compares the drawing dimension to the actual dimension:
\[
\text{Scale Factor} = \frac{\text{Drawing Dimension}}{\text{Actual Dimension}} = \frac{9 \text{ inches}}{108 \text{ inches}}.
\]

**Step 3: Simplify the fraction.**

\[
\frac{9}{108} = \frac{1}{12}.
\]

Thus, the scale factor of the drawing is **1/12**.

Would you like more details, or do you have any questions about this solution?

Here are 5 related questions for further exploration:

1. How would the scale factor change if the drawing used 6 inches for the same 3 yards?
2. What would the real-life size be if the drawing used 15 inches, based on the same scale factor?
3. How do you convert between different units when working with scale factors?
4. If the scale was 1 inch = 2 feet, what would be the scale factor in fractional form?
5. How can you determine the scale factor if the drawing uses meters instead of yards?

**Tip:** Always ensure units are consistent before calculating scale factors!

Evelyn drew a scale drawing of a city. She used the scale 9 inches = 3 yards. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.

Learn how to determine the scale factor when converting from inches to yards. This math problem involves unit conversion, ratios, and simplifying fractions, making it ideal for students in Grades 6-8.

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