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Franklin drew a scale drawing of a house and its lot. The scale he used was $9$ millimeters $= 1$ meter. What is the drawing's scale factor? $\newline$ Simplify your answer and write it as a fraction. $\newline$ $\_\_\_\_\_$

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Scale drawings: scale factor word problems

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Q. Franklin drew a scale drawing of a house and its lot. The scale he used was

9

millimeters

= 1

meter. What is the drawing's scale factor?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_\_\_\_

Identify Scale Given: Step $1$ : Identify the scale given in the problem. $\newline$ Franklin used a scale of $9$ millimeters $=$ $1$ meter for his drawing. $\newline$ Scale factor $=$ (length in the drawing) / (corresponding length in reality) $\newline$ Scale factor $=$ ( $9$ mm) / ( $1$ m)
Convert to Millimeters: Step $2$ : Convert meters to millimeters to have consistent units. $\newline$ $1$ meter = $1000$ millimeters. $\newline$ Now, recalculate the scale factor using the same units. $\newline$ Scale factor = $(9\, \text{mm}) / (1000\, \text{mm})$
Simplify Fraction: Step $3$ : Simplify the fraction to find the scale factor. $\newline$ Scale factor = $\frac{9}{1000}$ $\newline$ This is the scale factor in its simplest form.

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