Question

at the high school 1/3 of the students play a instrument,of the students who play a instrument 2/3 play a string instrument,what fraction of the students at the high school play a string instrument

Answer 1

2/9 play strings. 1/3 x 2/3 = 2/9. Think of it this way, if the school has 18 students and 1/3 play an instrument, 6 students play an instrument. Of those 6 students, 2/3 or 4 play a string instrument. 4/18 simplifies to 2/9