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)
To find the fraction of those who were cast got major roles, we need to divide the number of students who got major roles by the total number of students who were casted.
The number of students who got major roles is 6.
The total number of students who were casted is one-third of 90, which is (1/3) * 90 = 30.
So, the fraction of those who were cast got major roles is 6/30 = 0.2.
Therefore, the answer is 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 6 students got major roles and one-third of those who auditioned were cast, we can calculate the total number of students cast by multiplying the number of students who auditioned by one-third:
Total number of students cast = (Number of students auditioned) * (One third)
Total number of students cast = 90 * (1/3)
Total number of students cast = 30
Now, we can calculate the fraction of those who were cast that got major roles by dividing the number of students who got major roles by the total number of students cast:
Fraction of those who were cast that got major roles = (Number of students with major roles) / (Total number of students cast)
Fraction of those who were cast that got major roles = 6 / 30
Simplifying the fraction, we get:
Fraction of those who were cast that got major roles = 0.2
Therefore, the fraction of those who were cast that got major roles, written as a decimal, is 0.2.