Question
review what you've learned. It will not count toward your grade.
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)
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)
Answers
GPT-4o mini
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**.
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**.