ninety students audititoned for the school play one-third of those who auditoned were cast 6 in major what fraction of those who were cast got major roles write your answer as a decimal
One-third of the ninety students who auditioned were cast, which means that 90/3 = 30 students were cast.
Out of those 30 students, 6 were cast in major roles.
To determine the fraction of students cast in major roles, we divide the number of students cast in major roles by the total number of students cast: 6/30 = 0.2
Therefore, the fraction of students cast in major roles is 0.2.
Let's break down the information given step by step:
1. Ninety students auditioned for the school play.
2. One-third of those who auditioned were cast.
To find the number of students who were cast, we can calculate (1/3) * 90 = 30 students were cast.
3. Six out of the 30 students who were cast got major roles.
Now, we need to determine the fraction of students who were cast that got major roles. We can express this as 6/30.
Reducing the fraction, we find that 6/30 = 1/5.
Therefore, the fraction of those who were cast that got major roles is 1/5.
As a decimal, this fraction can be represented as 0.2.