Find \(2 \cdot 5^{-1} + 8 \cdot 11^{-1} \pmod{56}\)
Express your answer as an integer from 0 to 55, inclusive.
answer is \(2/5+8/11=62/55\)
5x=56K+1
5*-11=-55 and 56*-1+1=-55
so -11 is the inverse of 5
--------------------------
11p=56t+1
11*-5=56*-1+1
so -5 is the inverse of 11
----------------------
2*-11+8*-5= -22-40 = -62
-62 is equiv to 112-62 = 50 (mod 56)
I think that is correct...
