Ninety students auditioned for the school play. One third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles?
\(\frac{6}{90}=\frac{1}{15}\). The fraction of students who were cast in major roles out of all the students cast is \boxed{\frac{1}{15}}.
To find the fraction of those who were cast that got major roles, we need to determine the total number of students who were cast.
Given that one third of the students who auditioned were cast, we can find the number of students who were cast by dividing the total number of students who auditioned (90) by 3:
90 / 3 = 30 students were cast.
Out of the 30 students who were cast, 6 got major roles.
Therefore, the fraction of those who were cast that got major roles is found by dividing the number of students who got major roles (6) by the total number of students who were cast (30):
6 / 30
Simplifying this fraction, we get:
1 / 5
So, one-fifth (1/5) of those who were cast got major roles.