For this case we have that each student takes 8 \ frac {3} {4} minutes to perform and play 3 songs. Then, we convert the mixed number to a fraction:
[tex]8 \frac {3} {4} = \frac {4 * 8 + 3} {4} = \frac {32 + 3} {4} = \frac {35} {4}[/tex]
Thus, each student takes[tex]\frac {35} {4}[/tex] minutes.
If there are 9 students in the recital then we have:
[tex]9 * \frac {35} {4} = \frac {315} {4} = 78.75[/tex] minutes.
Thus, the recital lasts at least 78.75 minutes.
Answer:
The recital lasts at least 78.75 minutes.
