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
To find the fraction of students who were cast and got major roles, we need to divide the number of students who got major roles by the number of students who were cast.
Since one-third of the 90 students who auditioned were cast, 1/3 * 90 = <<1/3*90=30>>30 students were cast.
Therefore, the fraction of students who got major roles is 6/30 = 1/5 = 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.
Given that 90 students auditioned for the school play and one-third of those who auditioned were cast, we can find the number of students who were cast by multiplying the total number of auditions by the fraction that were cast:
Number cast = 90 students × 1/3 = 30 students
Next, we need to divide the number of students who got major roles by the total number of students who were cast:
Fraction of those who were cast that got major roles = 6 students / 30 students = 0.2
Therefore, the fraction of those who were cast that got major roles is 0.2 as a decimal.
To find the fraction of students who were cast and got major roles, we need to determine the total number of students who were cast and then divide it by the number of those cast who got major roles.
First, let's find the total number of students who were cast. We know that one-third of the 90 students who auditioned were cast, so we can calculate this by multiplying the total number of students by 1/3:
90 * (1/3) = 30
Therefore, 30 students were cast.
Next, we need to find the fraction of those cast who got major roles. We're given that 6 students got major roles, so we can calculate this by dividing the number of students who got major roles by the total number of students cast:
6 / 30 = 0.2
Therefore, the fraction of students who were cast and got major roles is 0.2 as a decimal.