Question

1. on monday, \\(\frac{3}{12}\\) of the students went on a field trip. what fraction of the students did not go on the field trip? explain.

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).