Question

A marching band is rehearsing in rectangular formation. 1/5 of the marching band members play percussion instruments. 1/2 of the percussionists play the snare drum. What fraction of all the band members play the snare drum?

Answer 1

Answer:

Fraction of the whole band playing snare drum = $\frac{1}{2}*\frac{1}{5}=\frac{1}{10}$ of the whole band

Explanation:

We are given that:

Fraction of percussionists = $\frac{1}{5}$ of the whole band

Fraction of those playing snare drums =  $\frac{1}{2}$ the percussionists

Now, to get the fraction of the whole band playing snare drums, we will need to multiply the fraction of percussionists by the fraction of percussionists playing snare drums

This is done as follows:

Fraction of the whole band playing snare drum = $\frac{1}{2}*\frac{1}{5}=\frac{1}{10}$ of the whole band

Hope this helps :)