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Question
dave made a scale drawing of a city. the scale of the drawing was 5 inches = 1 yard. what is the drawing’s scale factor? simplify your answer and write it as a fraction.
Step1: Convert yards to inches
We know that 1 yard = 36 inches. So the actual length is 36 inches and the drawing length is 5 inches.
Step2: Find the scale factor
The scale factor is the ratio of the drawing length to the actual length, so it is $\frac{5}{36}$. Since 5 and 36 have no common factors other than 1, this fraction is already in simplest form.
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$\frac{5}{36}$