I can find the fractions:
-0.333... → -1/3;  0.8333... → 5/6;  1.138888... → 41/36

[ see WolframAlpha

]

(x + 1/3)² + (y − 5/6)² = 41/36
[or:   3·x² + 3·y² + 2·x − 5·y − 1 = 0]

We can draw the circle with (possiamo tracciare il cerchio con) WolframAlpha

If the circle is a "point" and if it does not exist ("NaN" stands for "Not a Number"):