Question

Of the students in the band, 1/4
play the flute and another 5/12
play the clarinet. What fraction of students in the band play either the flute or the clarinet?(1 point)
Responses

6/16
6 over 16

8/12
8 over 12

2/3
2 thirds

1/12
1 over 12

Answer 1

In order to find the fraction of students who play either the flute or the clarinet, we need to add the fractions representing the students who play each instrument.

The fraction of students who play the flute is 1/4.
The fraction of students who play the clarinet is 5/12.

To find the fraction of students who play either instrument, we add these fractions:

1/4 + 5/12

To add these fractions, we need to find a common denominator. The least common multiple of 4 and 12 is 12.

1/4 can be expressed as 3/12.
5/12 stays the same.

Adding these fractions:

3/12 + 5/12 = 8/12

Therefore, the fraction of students who play either the flute or the clarinet is 8/12.

So the correct response is: 8/12 or 8 over 12.