Answer
No.
Work Step by Step
We know that
$\frac{1}{3}=0.33333...$
where the "$3$"s repeat indefinitely. Thus, we can say that the two values are not equal:
$\frac{1}{3}\neq 0.333$
Furthermore, the fraction $1/3$ is larger because it has more "$3$"s after the decimal (an infinite number). Thus:
$\frac{1}{3}\ \gt 0.333$
The fraction is greater than $0.333$ by the following amount:
$\frac{1}{3}-0.333\gt0.000333...$