Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those were cast got major roles? Write your answer as a decimal
One-third of the 90 students are 90/3=<<90/3=30>>30 students.
So, 6/30=1/5 of those who auditioned got major roles.
Since 1/5 expressed as a decimal is 0.2, then the answer is \boxed{0.2}.
To find the fraction of those who were cast and got major roles, we need to determine the number of students who were cast and got major roles.
Given that one-third of the students who auditioned were cast, we can calculate the number of students who were cast by dividing the total number of students who auditioned by 3.
90 / 3 = 30 students were cast.
Out of the 30 students who were cast, 6 got major roles.
The fraction of those who were cast and got major roles is 6/30, which can be simplified to 1/5.
As a decimal, the fraction 1/5 is equal to 0.2.
Therefore, the answer is 0.2.
To find the fraction of students who were cast and got major roles, we first need to determine the total number of students who were cast.
Since one-third of the students who auditioned were cast, we can find that by dividing the total number of students who auditioned (90) by 3:
90 / 3 = 30
Therefore, 30 students were cast.
Now, we can find the fraction of those students who got major roles by dividing the number of students in major roles (6) by the total number of students cast (30):
6 / 30 = 0.2
So, the fraction of students who were cast and got major roles is 0.2.