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Stacy made a scale drawing of a city. She used the scale 77 inches =1= 1 yard. What is the scale factor of the drawing?\newlineSimplify your answer and write it as a fraction.\newline__\_\_

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Q. Stacy made a scale drawing of a city. She used the scale 77 inches =1= 1 yard. What is the scale factor of the drawing?\newlineSimplify your answer and write it as a fraction.\newline__\_\_
  1. Identify scale: Identify the scale given in the problem.\newlineScale given: 77 inches = 11 yard.\newlineCalculate the scale factor as a fraction of inches to yards.\newlineScale factor = (7 inches)/(1 yard)(7 \text{ inches}) / (1 \text{ yard})
  2. Calculate scale factor: Convert yards to inches to have a consistent unit.\newline11 yard = 3636 inches.\newlineNow, recalculate the scale factor using inches only.\newlineScale factor = (7(7 inches) / (3636 inches)
  3. Convert units: Simplify the fraction to find the scale factor.\newlineScale factor = 736\frac{7}{36}.\newlineThis cannot be simplified further, so the scale factor is 736\frac{7}{36}

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