28 boys in band. 7/10 of the students are boys. what fractions of the students in the band are girls

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3/10 ?

To find the fraction of students in the band who are girls, we first need to find the total number of students in the band.

Since the given information tells us that 7/10 of the students are boys, it means that 7/10 of the total number of students in the band are boys. We can represent this as a fraction:

Boys in the band = 7/10 * Total number of students

Given that there are 28 boys in the band, we can set up an equation:

28 = 7/10 * Total number of students

To find the total number of students, we can rearrange the equation:

Total number of students = 28 / (7/10)

To divide a fraction by another fraction, we need to multiply the first fraction by the reciprocal of the second fraction:

Total number of students = 28 * (10/7)

Simplifying the expression:

Total number of students = 40

Now that we know the total number of students in the band is 40, we can find the fraction of students who are girls.

Girls in the band = Total number of students - Boys in the band

Girls in the band = 40 - 28 = 12

The fraction of students in the band who are girls is:

Girls in the band / Total number of students = 12 / 40 = 3/10

Therefore, 3/10 of the students in the band are girls.