Question

In the school chorus 4 24th of the students are fourth graders I'n the simplest form what fraction of the students in the school chorus are fourth graders

Answer 1

1/6

Explanation:

Given:

Fraction of students that are in fourth grade =
`(4)/(24)`

In order to reduce this fraction in to simplest form, we need to find the highest common factor for both the numerator and denominator and divide each of the numerator and denominator by the highest common factor (HCF)

The numerator is 4 and the denominator is 24.

Factors of 4 = 1, 2, 4

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

As seen from the above, the highest common factor for 4 and 24 is 4.

So, we divide both numerator and denominator by the highest common factor which is 4. This gives,

`(4)/(24)=(4/ 4)/(24/ 4)\\\\\\(4)/(24)=(1)/(6)`

Therefore, the fraction of students that are in fourth grade in simplest form is
`(1)/(6)`.