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. t
One-third of the students were cast, which is equivalent to one out of every three students.
So, if 90 students auditioned, 90/3 = <<90/3=30>>30 students were cast.
Out of these 30 students, 6 got major roles.
Therefore, the fraction of students who were cast and got major roles is 6/30 = 1/5.
As a decimal, this is equal to 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 students who auditioned. Since 1/3 of 90 is 30, there were 30 students who were cast.
Out of these 30 students, 6 got major roles.
To find the fraction, we divide the number of students who got major roles (6) by the total number of students who were cast (30).
Fraction = 6/30 = 1/5.
So, the fraction of those who were cast that got major roles is 1/5, which can also be written as the decimal 0.2.