The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 60 cadets and B company has 72 cadets, what is the greatest number of cadets who can be in each row? A. 4 B. 6 C. 12 D. 15

C. 12

Step-by-step explanation:

All rows must have the same number of cadets. If A company has 60 cadets and B company has 72 cadets

We find the factors of 60 and 70

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 12.

Therefore, the greatest number of cadets who can be in each row is 12 cadets.

Option C is the correct option.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b