Question

bob measured a house and its lot and made a scale drawing. he used the scale 6 millimeters = 3 meters. what is the drawings scale factor? simplify your answer and write it as a fraction.

Explanation:

Step1: Recall scale factor definition

Scale factor is (drawing length)/(actual length). Here, drawing length is 6 millimeters, actual length is 3 meters. First, convert units: 3 meters = 3000 millimeters.

Step2: Calculate scale factor

Scale factor = $\frac{6}{3000}$. Simplify by dividing numerator and denominator by 6: $\frac{6\div6}{3000\div6}$ = $\frac{1}{500}$.

Answer:

$\frac{1}{500}$