Find the indicated quotient in clock arithmetic 117SolutionA

Find the indicated quotient in clock arithmetic. 11/7

Solution

Actual quotient is 1 and remainder is 4.

But using euclidean method,

11/7=1+4/7

=1+7/4(we have to flip the fraction)

=1+1+3/4

=1+1+4/3(again by flipping)

=1+1+1+1/3

=1+1+1+3/1

=1+1+1+3

=6.is the quotient.