Use fractions for coordinate ticks

Question

So I have some issues with the rounding of fractions, and I know that calculating fractions is notoriously difficult for a computer, so I am not too surprised this is not as easy as I want it to be.

I want my y-coordinate ticks to be fractions, and I want them to be the ones I gave as arguments (i.e. 1/36, 2/36, ...):

Minimal working example:

\documentclass{article}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usepackage{fp}
\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines =center,
ytick={(1/36),(2/36),...,(6/36)},
yticklabel style={/pgf/number format/frac},
ymin=0, ymax = 0.2,
xmin=0, xmax = 1.4]
\addplot [fill=cyan, fill opacity=0.5] {1/36 * x};
\end{axis}
\end{tikzpicture}
\end{document}

However, the result are...some less compelling fractions:

PS: I don't know what exactly the fp package does, but Overleaf recommended using it (it didn't resolve my issue though).