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

Answer 1

To find the fraction of those who were cast that received major roles, we can follow these steps:

1. Determine the total number of students auditioned: \[ 90 \text{ students} \]

2. Find the number of students who were cast: Since \( \frac{1}{3} \) of those who auditioned are cast, we calculate: \[ \text{Number cast} = \frac{1}{3} \times 90 = 30 \text{ students} \]

3. Identify how many received major roles: We know that 6 students are in major roles.

4. Calculate the fraction of cast students that received major roles: The fraction is given by the number of students in major roles divided by the number of students who were cast: \[ \text{Fraction with major roles} = \frac{6}{30} \]

5. Simplify the fraction: \[ \frac{6}{30} = \frac{1}{5} \]

6. Convert the fraction to a decimal: \[ \frac{1}{5} = 0.2 \]

Thus, the fraction of those who were cast that got major roles is \( 0.2 \).