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

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

amistre64 · Answer

what is the remainder of  57/12?

anonymous · Answer

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

jim_thompson5910 · Answer

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

jim_thompson5910 · Answer

So do the same for 57

anonymous · Answer

oh ok i get it, so the answer is 9

jim_thompson5910 · Answer

yep

57/12 = 4 remainder 9

so 

57 (mod 12) = 9 (mod 12)

anonymous · Answer

ok, thank u so much:)

amistre64 · Answer

ida had that but the site crashed on me :/

amistre64 · Answer

57/12 = (48 + 9)/12 = 4 + 9/12

so the remainder is not "4"