[tex] \frac{a}{b} =0,(27)= \frac{27}{99}= \frac{3}{11} [/tex]
[tex] \frac{a}{b} = \frac{3}{11} =\ \textgreater \ 11a=3b=\ \textgreater \ 11a-3b=0[/tex]
[tex]11a-3b=0|(-1)=\ \textgreater \ -11a+3b=0=\ \textgreater \ 3b-11a+1-1=0[/tex]
[tex]1+3b-11a=1[/tex]