90 students audition for the school play 1/3 of those who auditioned were cast six in major roles. What fraction of those who are cast got major roles write your answer as a decimal.
To find the fraction of those who are 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 number of students who got major roles is 6, and the total number of students who were cast is 90 × 1/3 = 30.
So the fraction of those who are cast that got major roles is 6/30 = 1/5.
As a decimal, this fraction is 1/5 = 0.2. Answer: \boxed{0.2}.
To find the fraction of those who were cast that got major roles, we first need to determine the number of students who were cast.
We know that 1/3 of the 90 students who auditioned were cast. To calculate the fraction of students cast, we multiply the total number of students by 1/3:
Number of students cast = 90 * 1/3 = 30
Now, we can determine the fraction of those who were cast that got major roles. We know that 6 students got major roles. To calculate the fraction, we divide the number of students with major roles by the total number of students cast:
Fraction of those who were cast with major roles = 6 / 30 = 1/5 = 0.2
Therefore, the fraction of those who were cast that got major roles as a decimal is 0.2.
To find the fraction of those who were cast that got major roles, we first need to determine how many students were cast for the play. We know that 1/3 of the 90 students who auditioned were cast, so we can find that fraction by multiplying:
1/3 * 90 = 30
Therefore, 30 students were cast for the school play.
Out of these 30 students, 6 were given major roles.
To find the fraction of those who were cast that got major roles, we can divide the number of students with major roles by the total number of students cast, like this:
6/30
Now, to write this fraction as a decimal, we divide the numerator (6) by the denominator (30):
6 ÷ 30 = 0.2
Thus, the fraction of those who were cast that got major roles, written as a decimal, is 0.2.