in a school band, 2/5 of the students play wind instruments. In the woodwind section, 1/2 of the students play the clarinet. What part of the band plays the clarinet?

(2/5) * (1/2) = ?

To find out what part of the band plays the clarinet, we need to calculate the fraction of students playing the clarinet.

First, let's calculate the fraction of students who play wind instruments: 2/5.

Then, we need to find out what fraction of the wind instrument players are in the woodwind section. According to the information given, 1/2 of the wind instrument players are in the woodwind section.

To calculate the fraction of students who play the clarinet, we multiply the fractions together:

(2/5) * (1/2) = 2/10 = 1/5.

Therefore, 1/5 of the school band plays the clarinet.

To determine what part of the school band plays the clarinet, we need to calculate the fraction of students who play the clarinet.

First, we have the information that 2/5 of the students play wind instruments. Since the clarinet is categorized as a woodwind instrument, we know that the students who play the clarinet are included in this 2/5 fraction.

Next, we are given that 1/2 of the students in the woodwind section play the clarinet. Therefore, we need to find the fraction of students who play woodwind instruments and then calculate 1/2 of that fraction.

To find the fraction of students who play woodwind instruments, we need to multiply the fraction of students who play wind instruments by the fraction of students in the woodwind section:

2/5 * 1/2 = 2/10 = 1/5

So, 1/5 of the band plays woodwind instruments, specifically the clarinet.