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Next school year 4 out of every 9 students plan to take an elective computer course if there are 2664 students at the high school how many computer students should the school plan for

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4 out of every 9 is represented by 4/9.
Your asked a fraction of a quantity and it is like finding a percentage of a quantity. So:

(4)/(9) *2664= (4\cdot2664)/(9) =(4\cdot296)/(1)=1184

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