Of the students in the band 1/2 play a brass instrument of the students who play a brass instrument 1/2 play the trumpet what fraction of students and the band play the trumpet

To solve this problem, let's break it down step by step:

1. **Fraction of students who play a brass instrument**:  
   Half of the students in the band play a brass instrument, so this is \( \frac{1}{2} \).

2. **Fraction of brass players who play the trumpet**:  
   Of the students who play a brass instrument, half play the trumpet, so this is also \( \frac{1}{2} \).

3. **Fraction of students in the band who play the trumpet**:  
   To find the fraction of all students in the band who play the trumpet, multiply the two fractions together:
   \[
   \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}
   \]
   
So, \( \frac{1}{4} \) of the students in the band play the trumpet.

Would you like further details on the multiplication of fractions or have any questions?

Here are 5 related questions:
1. What if \( \frac{3}{4} \) of the brass players played the trumpet? What fraction of the band would play the trumpet?
2. If there are 100 students in the band, how many play the trumpet?
3. If \( \frac{1}{3} \) of the students in the band play woodwind instruments, what fraction plays brass or woodwind?
4. How would the fraction change if only \( \frac{1}{3} \) of the brass players played the trumpet?
5. What fraction of students would play the trumpet if \( \frac{2}{3} \) of the band played a brass instrument?

**Tip**: When multiplying fractions, simply multiply the numerators together and the denominators together!

Of the students in the band 1/2 play a brass instrument. Of the students who play a brass instrument 1/2 play the trumpet. What fraction of students in the band play the trumpet?

Learn how to determine the fraction of students in a band who play the trumpet by multiplying fractions. In this problem, half of the students play a brass instrument, and half of those brass players play the trumpet. Suitable for students in Grades 4-6.

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