Let x be 15.333... and let 10x be 153.333... So...
10x = 153.333...
x = 15.333...
Subtract the two equations:
10x - x = 9x
153.333... - 15.333... = 138
Thus, 9x = 138.
Divide both sides by 9 and that be
138/9.
Simplify it by 3.
46/3
So 15.3333333333... = 46/3