Of the students in the band, 1/4 play the flute and another 3/8 play the clarinet. What fraction of the students in the band play either the flute or the clarinet?Write your answer as a fraction or as a whole or mixed number.
Question
Of the students in the band, 1/4 play the flute and another 3/8 play the clarinet. What fraction of the students in the band play either the flute or the clarinet?Write your answer as a fraction or as a whole or mixed number.
Solution
To find the fraction of students who play either the flute or the clarinet, you simply add the fractions of those who play each instrument.
The fraction of students who play the flute is 1/4 and the fraction of students who play the clarinet is 3/8.
To add these fractions, you need to have the same denominator. In this case, the common denominator is 8.
So, convert 1/4 to 2/8.
Now, add 2/8 (flute players) and 3/8 (clarinet players).
2/8 + 3/8 = 5/8
So, 5/8 of the students in the band play either the flute or the clarinet.
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