review what you've learned. It will not count toward your grade.

Question

Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Wite your answer as a decimal. (1 point)

Answer 1

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

1. Total Students Who Auditioned: 90 students.

2. Students Cast: One-third of those who auditioned were cast. \[ \text{Students Cast} = \frac{1}{3} \times 90 = 30 \text{ students} \]

3. Major Roles: There were 6 students in major roles.

4. Fraction of Those Cast Who Got Major Roles: \[ \text{Fraction} = \frac{\text{Number of Major Roles}}{\text{Total Cast}} = \frac{6}{30} \]

5. Simplifying the Fraction: \[ \frac{6}{30} = \frac{1}{5} \]

6. Converting to Decimal: \[ \frac{1}{5} = 0.2 \]

So, the fraction of those who were cast that got major roles, as a decimal, is 0.2.