Z minus one third equals one and two thirds

First you rewrite 1 2/3 into an improper fraction: z-1/3=5/3

Then you have: z-1/3=5/3

Move - 1/3 to the right side of the equation by adding 1/3 to both sides.

z=1/3+5/3

Simplify the right side by combining the numerators over the common denominator: z = (1+5) / 3

Add 1 and 5 to get 6: z=6/3

Divide 6 by 3 and get 2

z=2