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 point)
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To find the fraction of those who were cast that got major roles, we need to find the number of students who were cast first.
One-third of the students who auditioned were cast, so there were 90/3 = <<90/3=30>>30 students who were cast.
Out of those 30 students, 6 got major roles.
Therefore, the fraction of those who were cast that got major roles is 6/30 = 1/5.
As a decimal, this is equal to 0.2.
Answer: 0.2.
To find the answer, 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. So, we can calculate it by dividing 90 by 3:
90 / 3 = 30
Therefore, 30 students were cast.
Out of these 30 students who were cast, 6 got major roles.
To find the fraction of students who got major roles, we divide the number of students who got major roles by the total number of students who were cast:
6 / 30 = 0.2
So, the fraction of students who got major roles is 0.2.