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

Answer:

11/39

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

$\begin{gathered} =\frac{3}{9}\text{ of }\frac{11}{13} \\ =\frac{3}{9}\times\text{ }\frac{11}{13} \\ =\frac{1}{3}\text{ }\times\text{ }\frac{11}{13} \\ =\frac{11}{39} \end{gathered}$

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