Question

Find the modulo class to which the number belongs for the given modulo system. 57, mod 12
A. 6

B. 9

C. 1

D. 3

Answer 1

what is the remainder of 57/12?

Answer 2

4 but thats what I dont really understand, 4 is not one of the choices

Answer 3

Similar Example

55/12 = 4 remainder 7

The remainder is 7, which means that

55 (mod 12) = 7 (mod 12)

This basically says that they have the same remainder when you divide them by 12

Answer 4

So do the same for 57

Answer 5

oh ok i get it, so the answer is 9

Answer 6

yep

57/12 = 4 remainder 9

so

57 (mod 12) = 9 (mod 12)

Answer 7

ok, thank u so much:)

Answer 8

ida had that but the site crashed on me :/

Answer 9

57/12 = (48 + 9)/12 = 4 + 9/12

so the remainder is not "4"