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 1. So, \( 1 - \frac{3}{12} \). Convert 1 to \( \frac{12}{12} \), then \( \frac{12}{12} - \frac{3}{12} = \frac{12 - 3}{12} = \frac{9}{12} \). Simplify \( \frac{9}{12} \) by dividing numerator and denominator by 3: \( \frac{9\div3}{12\div3} = \frac{3}{4} \) (or we can leave it as \( \frac{9}{12} \) which simplifies to \( \frac{3}{4} \)). Also, from the model, the total parts are 12 (each \( \frac{1}{12} \)), 3 parts went, so \( 12 - 3 = 9 \) parts did not go, so \( \frac{9}{12} = \frac{3}{4} \).

Answer:

The fraction of students who did not go on the field trip is \( \frac{9}{12} \) (or simplified to \( \frac{3}{4} \)).