Answer
Find out the how many minutes are not spent on instruction.
To prove
Let us assume that the numbers of hours Mr. Williams is not instruciton be x.
As given
[tex]Mr.Williams\ physical\ education\ class\ lasts\ \frac{7}{8}\ hour\ if\ instruciton\ is\ \frac{1}{5} .[/tex]
Than the equation becomes
[tex]x = \frac{7}{8} - \frac{1}{5}[/tex]
L.C.M of (8,5) = 40
[tex]x = \frac{7\times 5 - 1\times 8}{40}[/tex]
[tex]x = \frac{35 - 8}{40}[/tex]
[tex]x = \frac{27}{40}[/tex]
[tex]x = \frac{27}{40}\ hours[/tex]
As 1 hours = 60 mintues
[tex]Now\ convert\ \frac{27}{40}\hours\ into\ mintues.[/tex]
[tex]= \frac{27\times 60}{40}[/tex]
= 40.5 mintues
Therefore in 40.5 mintues Mr. Williams not spent on instruction .