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
One third of ninety is 90 / 3 = 30.
Therefore, 30 students were cast.
Since 6 students got major roles, the fraction of those who were cast that got major roles is 6/30 = 0.2. Answer: \boxed{0.2}.
To find the fraction of students who were cast in major roles, we need to calculate the ratio of the number of students who were cast in major roles to the total number of students who auditioned.
We know that 90 students auditioned for the school play and one-third of those who auditioned were cast. To calculate the number of students who were cast, we can multiply 90 by one-third:
90 * 1/3 = 30
So, 30 students were cast in the school play. Now, to find the fraction of those who were cast that got major roles, we divide the number of students in major roles by the total number of students who were cast:
6 / 30 = 0.2
Therefore, the fraction of students who were cast in major roles is 0.2.
To find the answer, we need to determine the number of students who were cast in the play first.
Given that one third of the ninety students who auditioned were cast, we can calculate this by multiplying one-third by ninety:
1/3 * 90 = 30
Therefore, thirty students were cast in the school play.
Next, we can determine the fraction of those who were cast that got major roles. Given that six students got major roles, we can calculate this by dividing six by thirty:
6 / 30 = 0.2
As a decimal, the fraction of those who were cast and got major roles is 0.2.