Quokkstar

Rob the quokka is playing with an infinite number of unit hexagrams, which can be described as a hexagon of side length $1$ with a triangle of side length $1$ affixed to each of its sides. He is trying to cover various squares of side length $x$. Let $f(x)$ be the maximum proportion of area of the square that be covered with non-overlapping unit hexagrams.

Evaluate $\lim_{x \to \infty} f(x)$.

Submit your answer as an irreducible fraction, with the numerator and denominator separated by a slash. For example, if your answer is $0.8$, you should submit "4/5".

For all the tasks, including this one, you can submit as many times as you like with no penalty! Only your best submission will be counted.