Michael made a scale drawing of a game room. The pool table is 6 inches wide in the drawing. The actual pool table is 3 feet wide. What scale factor does the drawing use? Simplify your answer and write it as a fraction.

To find the scale factor of the drawing, we need to compare the width of the pool table in the drawing to the actual width of the pool table. 1. **Convert the actual width to the same unit as the drawing:** - The actual width of the pool table is 3 feet. Since there are 12 inches in a foot, we convert feet to inches: \[ 3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches} \] 2. **Set up the scale factor:** - The scale factor is the ratio of the width in the drawing to the actual width: \[ \text{Scale Factor} = \frac{\text{Width in Drawing}}{\text{Actual Width}} = \frac{6 \text{ inches}}{36 \text{ inches}} \] 3. **Simplify the fraction:** - We can simplify \(\frac{6}{36}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 6: \[ \frac{6 \div 6}{36 \div 6} = \frac{1}{6} \] Thus, the scale factor used in the drawing is \(\frac{1}{6}\).