90 students audition for the school play. 1/3 of those who audition were cast six in major roles. What fraction of those who were cast got major roles. Write your answer as a decimal
1/3 of the 90 students who auditioned means 90 * (1/3) = <<90*(1/3)=30>>30 students were cast.
Out of those 30 students, 6 got major roles.
Therefore, the fraction of those who were cast and got major roles is 6/30.
To write this fraction as a decimal, divide 6 by 30: 6/30 = 0.2.
So, the answer is 0.2.
To find the fraction of those who were cast and got major roles, we first need to find out how many students were cast in the play. We know that 1/3 of the 90 students who auditioned were cast.
So, we calculate:
1/3 * 90 = 30.
Therefore, 30 students were cast in the play.
Out of these 30 students, 6 got major roles.
To find the fraction, we divide the number of students who got major roles by the total number of students cast:
6/30 = 0.2.
Therefore, the fraction of those who were cast and got major roles is 0.2.