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? Write your answer as a decimal. Show your work.
One-third of the 90 students who auditioned were cast, so 90 / 3 = <<90/3=30>>30 students were cast.
6 of these 30 students were cast in major roles, so 6 / 30 = <<6/30=0.2>>0.2.
The fraction of those who were cast and got major roles is 0.2. Answer: \boxed{0.2}.
To find the fraction of those who were cast that got major roles, we need to divide the number of students who got major roles by the total number of students who were cast.
The total number of students who were cast is one-third of the total number of students who auditioned, which is (1/3) * 90 = 30.
The number of students who got major roles is given as 6.
So, the fraction of those who were cast that got major roles is 6/30.
To write this as a decimal, we divide 6 by 30:
6 ÷ 30 = 0.2
Therefore, the fraction of those who were cast that got major roles is 0.2.