Verify Modulo Arithmatic Equation: (47/14)=1 (mod 11)

[rad0786]

Homework Statement

Can somebody please veryify for me that (47/14) = 1 (mod 11)

Homework Equations

The Attempt at a Solution

What I did was:

(47/14)

=(14)^-1(47)

=(3^-1)(3)

=1 (mod 11)

 

[Dick]

47/14 isn't an integer. How can it be equal to 1 mod 11? Can you state what the real problem is?

 

[HallsofIvy]

rad0786, is it possible that the problem was to show that 47, divided by 14 in "mod 11 arithmetic", is equal to 1? That would make more sense than "show that (the fraction) 47/11 is equal to 1 (mod 11)" since, as Dick implied, "mod" arithmetic only applies to integers.