To find the ratio of the length of the car to the length of the model, we need to express both lengths in the same units. The car is 9 feet long, and the model is 6 inches long.
First, we convert the car’s length from feet to inches since there are 12 inches in a foot. Therefore, 9 feet is equal to:
- 9 feet × 12 inches/foot = 108 inches
Now both the car and the model lengths are in inches:
- Length of the car: 108 inches
- Length of the model: 6 inches
Next, we can set up the ratio:
- Ratio = Length of the car : Length of the model = 108 inches : 6 inches
To simplify this ratio, we divide both sides by the common factor, which is 6:
- 108 inches ÷ 6 = 18
- 6 inches ÷ 6 = 1
So the simplified ratio is 18:1.
In conclusion, the ratio of the length of the car to the length of the model is 18:1.