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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.

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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.

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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.

This problem has been solved

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