In a school band 5/8 of the students play brass instruments only 1/5 of the students who play a brass instruments play the trumpet. What fraction of the band students play the trumpet?
To find the fraction of the band students that play the trumpet, we need to multiply the fractions that represent the students playing brass instruments and the students playing the trumpet within that group.
First, let's find the fraction of students that play brass instruments:
5/8
Then, let's find the fraction of students who play the trumpet within the group that plays brass instruments:
1/5
Now, we multiply these fractions to find the fraction of the band students that play the trumpet:
5/8 * 1/5 = 5/40 = 1/8
Therefore, 1/8 of the students in the band play the trumpet.