Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in a major roles. What fraction of those who were cady got major roles? Write answer as a decimal.

Answer 1

To find the fraction of those who were cast that got major roles, we first need to determine how many students were cast in total.

Since one-third of the 90 students who auditioned were cast, we calculate:

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

Now, we know that out of the 30 students cast, 6 received major roles. To find the fraction of the cast who received major roles, we divide the number of students with major roles by the total number of students cast:

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

Now, we simplify this fraction:

\[ \frac{6}{30} = \frac{1}{5} \]

To express this as a decimal, we convert \(\frac{1}{5}\) into decimal form:

\[ \frac{1}{5} = 0.2 \]

Thus, the fraction of those who were cast that got major roles, expressed as a decimal, is:

\[ \boxed{0.2} \]