Answer:
Option D) 58 39/64 inches
Step-by-step explanation:
we know that
The scale drawing is
[tex]15\frac{1}{8}[/tex]
convert to an improper fraction
[tex]15\frac{1}{8}=\frac{15*8+1}{8}=\frac{121}{8}[/tex]
That means
121 in in the actual, represent 8 in on a scale drawing
To find how long is the actual part for 3 7/8 inches long as the drawing
Apply proportion
First convert to an improper fraction
[tex]3\frac{7}{8}=\frac{3*8+7}{8}=\frac{31}{8}[/tex]
[tex]\frac{121}{8}\frac{actual}{drawing} =\frac{x}{(31/8)}\frac{actual}{drawing}\\ \\x=121(31/8)/8\\ \\x=\frac{3,751}{64}\ in[/tex]
convert to mixed number
[tex]\frac{3,751}{64}\ in=\frac{3,712}{64} +\frac{39}{64} =58\frac{39}{64}\ in[/tex]
