90 students audition for the school play 1/3 of those who audition were cast six in major rules. What fraction of those who were cast got major roles write your answer as a decimal.

Answer 1

Let's start by figuring out how many students were cast in total and how many of them had major roles.

1. Total students who auditioned: 90

2. Fraction who were cast: \( \frac{1}{3} \)

   Number of students cast: \[ \text{Number of cast students} = \frac{1}{3} \times 90 = 30 \]

3. Number of students with major roles: 6

Next, we need to find the fraction of those who were cast that received major roles:

\[ \text{Fraction with major roles} = \frac{\text{Number of students with major roles}}{\text{Total number of cast students}} = \frac{6}{30} \]

Simplifying that fraction: \[ \frac{6}{30} = \frac{1}{5} \]

To express this as a decimal: \[ \frac{1}{5} = 0.2 \]

Thus, the fraction of those who were cast that got major roles, expressed as a decimal, is: \[ \boxed{0.2} \]