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?
One-third of 90 is 90/3 = <<90/3=30>>30 students.
Six students were cast in major roles, so 6/30 = <<6/30=1/5>>1/5 of those cast got major roles. Answer: \boxed{\frac{1}{5}}.
To find the fraction of those who were cast that got major roles, we first need to determine how many students were cast out of the 90 who auditioned.
Since one-third of the students who auditioned were cast, we can find the number of students cast by multiplying one-third by 90:
(1/3) * 90 = 30
So, 30 students were cast in the school play.
To find the fraction of those who were cast that got major roles, we can divide the number of students in major roles (6) by the total number of students cast (30):
6/30
Simplifying this fraction, we can divide both the numerator and denominator by 6:
6 ÷ 6 / 30 ÷ 6
1/5
Therefore, the fraction of those who were cast that got major roles is 1/5.