To find the scale factor of Levi's drawing represented in the simplest form as a ratio, we start with the given scale of the drawing: 3 millimeters = 2 meters.
First, we need to express both measurements in the same units. We'll convert the meters to millimeters since 1 meter = 1000 millimeters.
Thus, 2 meters = 2 × 1000 = 2000 millimeters.
Now we can rewrite the scale as: 3 millimeters = 2000 millimeters.
To find the scale factor as a ratio, we express the relationship as: \[ \text{Scale Factor} = \frac{\text{drawing size}}{\text{actual size}} = \frac{3 \text{ mm}}{2000 \text{ mm}} \]
Now, we can simplify the ratio 3:2000. To do this, we divide both numbers by their greatest common divisor (GCD). Since 3 and 2000 have no common factors other than 1, we cannot simplify this further.
Therefore, the scale factor in simplest form is: \[ 3 : 2000 \]
So, the final answer is \( \boxed{3 : 2000} \).
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