we can convert any decimal value to a fraction by simply using in the denominator a power of 10 with as many zeros as there are decimals and lost the dot above, this one has one decimal, so we'll use 1 zero, and lose the dot above.
[tex]\bf 0.\underline{6}\implies \cfrac{06}{1\underline{0}}\implies \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 3}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 50}\implies \cfrac{3}{50}[/tex]
