Question

Of the students in the band, 11/13 play a brass instrument. Of the students who play a brass instrument, 3/9 play the tuba. What fraction of the students in the band play tuba?

Answer 1

11/39

Step-by-step explanation:

The fraction of the students in the band who play a brass instrument = 11/13

Of the students who play a brass instrument, the fraction of those who play the tuba =3/9

Therefore, the fraction of the student in the band who play the tuba

`\begin{gathered} =(3)/(9)\text{ of }(11)/(13) \\ =(3)/(9)*\text{ }(11)/(13) \\ =(1)/(3)\text{ }*\text{ }(11)/(13) \\ =(11)/(39) \end{gathered}`

Therefore, 11/39 of the students in the band play the tuba.