1/3 of the Campers at Rosewood Performing Arts Camp playing instrument 2/5 of those campers play guitar what fractions of the Campers at rosewood's Performing Arts Camp play the guitar

Answer 1

To find the fraction of all campers at Rosewood Performing Arts Camp who play guitar, we can follow these steps:

1. Let’s denote the total number of campers as \( C \).

2. According to the problem, \( \frac{1}{3} \) of these campers play an instrument. So the number of campers who play an instrument is: \[ \frac{1}{3}C \]

3. Out of those campers who play an instrument, \( \frac{2}{5} \) play guitar. Therefore, the number of campers who play guitar is: \[ \frac{2}{5} \times \frac{1}{3}C = \frac{2}{15}C \]

Thus, the fraction of all campers at Rosewood Performing Arts Camp who play the guitar is \( \frac{2}{15} \).