ninety students audition for the school play . one third of those who audition were cast,6 in major roles what fraction of those who were cast got major roles
To find the fraction of students who were cast in major roles, divide the number of students who were cast in major roles (6) by the total number of students who auditioned (90):
6 / 90
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6:
1 / 15
Therefore, 1/15 of the students who were cast got major roles.
To find the fraction of those who were cast that got major roles, we first need to determine the number of students who were cast.
Given that one-third of the students who auditioned were cast, we can calculate the number of students who were cast as follows:
Number of students who were cast = (1/3) * 90
Number of students who were cast = 30
Now, to find the fraction of those who were cast that got major roles, we divide the number of students in major roles by the total number of students who were cast:
Fraction of those who were cast and got major roles = 6 / 30
Fraction of those who were cast and got major roles = 1/5 or "one-fifth"
Therefore, the fraction of students who were cast that got major roles is 1/5.