One-third of the campers at Rosewood Performing Arts Camp play an instrument. Two- fifths of those campers play guitar. What fraction of the campers at Rosewood Performing Arts Camp play the guitar?
Two-fifths of one-third is $\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}$. Thus, $\boxed{\frac{2}{15}}$ of the campers at Rosewood Performing Arts Camp play the guitar.
To find the fraction of campers who play the guitar, we need to multiply the fractions representing the relevant information.
Let's start by calculating the fraction of campers who play an instrument. Since one-third of the campers play an instrument, the fraction is 1/3.
Next, we need to determine the fraction of those campers who play the guitar. Two-fifths of the campers who play an instrument play the guitar, so the fraction is 2/5.
To find the fraction of all campers who play the guitar, we multiply the fractions:
1/3 * 2/5 = 2/15
Therefore, the fraction of campers at Rosewood Performing Arts Camp who play the guitar is 2/15.
To find the fraction of campers at Rosewood Performing Arts Camp that play the guitar, we can use the information given in the question.
We are told that one-third of the campers play an instrument, so let's assume that there are 100 campers.
One-third of the campers play an instrument, which means there are 100 / 3 = 33.33... campers who play an instrument.
Next, we are told that two-fifths of those campers play the guitar.
To find out how many campers play the guitar, we can multiply the number of campers who play an instrument by two-fifths: 33.33... * (2/5) = 13.333...
Since we can't have a fraction of a camper, we need to round our answer. Since there can't be half of a camper, we will round down to the nearest whole number.
So, approximately 13 campers play the guitar.
To find the fraction of campers who play the guitar, we can divide the number of campers who play the guitar by the total number of campers.
13 campers play the guitar out of a total of 100 campers, so the fraction of campers who play the guitar is 13/100.