Question

5 of all students at riverwood high school are involved in an extra-curricular activity. of those students, 2 3 are involved in a fall activity. what fraction of students are involved in a fall activity?

Answer 1

Approximately 3.33% of Riverwood High School students, or 1/30 when expressed as a fraction, are involved in fall activities, calculated by multiplying 5% by 2/3.

Step-by-step explanation:

To calculate the fraction of Riverwood High School students involved in a fall activity, we first need to know the total percentage of students involved in any extra-curricular activity. Then, we apply the given fraction of those students who are involved specifically in fall activities to find the overall percentage of students participating in fall activities.

Given that 5% of the students are involved in an extra-curricular activity and 2/3 of these students are involved in a fall activity, we can find the fraction of all students involved in a fall activity as follows:

1. Multiply 5% (or 0.05 as a decimal) by 2/3.
2. The calculation will be 0.05 × 2/3 = 0.0333 (rounded to four decimal places).
3. Thus, approximately 3.33% of all students, or the fraction 1/30 when expressed in simplest form, are involved in a fall activity.

In conclusion, 1/30 of the students at the high school participate in fall activities.