2. on monday, \\(\\frac{3}{12}\\) of the students went on a field trip. what fraction of the students did…

Explanation:

Step1: Define total as 1 (whole)

The total fraction of students is represented by ( 1 ) (or ( \frac{12}{12} ) since the denominator is 12).

Step2: Subtract the fraction that went

To find the fraction that did not go, subtract the fraction that went (( \frac{3}{12} )) from the total (( 1=\frac{12}{12} )):
( \frac{12}{12}-\frac{3}{12}=\frac{12 - 3}{12}=\frac{9}{12} )

Step3: Simplify the fraction (optional)

Simplify ( \frac{9}{12} ) by dividing numerator and denominator by their GCD (3):
( \frac{9\div3}{12\div3}=\frac{3}{4} ) (or leave as ( \frac{9}{12} ); both are correct, but ( \frac{3}{4} ) is simplified).

Answer:

The fraction of students who did not go on the field trip is ( \frac{9}{12} ) (or ( \frac{3}{4} ) when simplified). Explanation: The total fraction of students is ( 1 ) (or ( \frac{12}{12} )). Subtracting the fraction that went (( \frac{3}{12} )) from the total gives ( \frac{12}{12}-\frac{3}{12}=\frac{9}{12} ) (or ( \frac{3}{4} ) after simplifying).