Of the students in the band, 3/4 play a brass instrument. Of the students who play a brass instrument, 7/8 play the trumpet. What fraction of the students in the band play the trumpet?Write your answer as a fraction or as a whole or mixed number.
Question
Of the students in the band, 3/4 play a brass instrument. Of the students who play a brass instrument, 7/8 play the trumpet. What fraction of the students in the band play the trumpet?Write your answer as a fraction or as a whole or mixed number.
Solution
To find the fraction of students in the band who play the trumpet, you need to multiply the fraction of students who play a brass instrument by the fraction of those students who play the trumpet.
First, take the fraction of students who play a brass instrument, which is 3/4.
Next, take the fraction of those students who play the trumpet, which is 7/8.
Multiply these two fractions together:
(3/4) * (7/8) = 21/32
So, 21/32 of the students in the band play the trumpet.
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