Question

the table below gives the dimensions of a painting and a scale drawing of the painting. find the scale factor of the drawing. (the scale factor to get the drawing from the painting.) write your answer as a fraction in simplest form.
table:

• painting: length (inches) 63, width (inches) 56
• drawing: length (inches) 9, width (inches) 8

scale factor:
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Explanation:

Step1: Identify corresponding dimensions

We take the length (or width) of the drawing and divide it by the length (or width) of the painting. Let's use the length: drawing length is 9 inches, painting length is 63 inches. So the ratio is $\frac{9}{63}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 9 and 63. The GCD of 9 and 63 is 9. Divide numerator and denominator by 9: $\frac{9\div9}{63\div9}=\frac{1}{7}$. We can check with width: drawing width is 8, painting width is 56. $\frac{8}{56}=\frac{8\div8}{56\div8}=\frac{1}{7}$, same result.

Answer:

$\frac{1}{7}$