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.(1 po
One-third of the students who auditioned were cast, so the number of students who were cast is 1/3 * 90 = <<1/3*90=30>>30.
The fraction of those who were cast and got major roles is 6/30 = <<6/30=0.2>>0.2. Answer: \boxed{0.2}.
To find the fraction of those who were cast that got major roles, we first need to determine how many students were cast in total.
Given that one-third of the students who auditioned were cast, we can find the number of students who were cast by multiplying 90 (the total number of students who auditioned) by 1/3.
90 * 1/3 = 30
So, 30 students were cast in total.
Next, we need to find the fraction of those who were cast that got major roles. Out of the 30 students who were cast, 6 got major roles.
To find the fraction, we divide the number of students who got major roles (6) by the total number who were cast (30).
6 / 30 = 0.2
So, the fraction of those who were cast that got major roles is 0.2.