# Two fifths of the instruments in the marching band are brass, one third are percussion, and the rest are woodwinds. What fraction of the band is woodwinds?

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To find the fraction of the marching band that is woodwinds, subtract the fractions representing the brass and percussion instruments from 1 (since the total fractions of the band must add up to 1).

[ 1 - \frac{2}{5} - \frac{1}{3} = 1 - \frac{6}{15} - \frac{5}{15} = 1 - \frac{11}{15} = \frac{15}{15} - \frac{11}{15} = \frac{4}{15} ]

So, (\frac{4}{15}) of the band is woodwinds.

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