[tex]a=1,3(7)=\frac{137-13}{90}=\frac{124^{(2}}{90}=\frac{62}{45}\;;\\
b=1,(27)=\frac{127-1}{99}=\frac{126^{(9}}{99}=\frac{14}{11}\;;\\
\frac{62}{45)\;\;si\;\;\frac{14}{11}\;\\
\Downarrow\;\\
a=\frac{11\cdot62}{11\cdot45}=\frac{682}{495}\\
b=\frac{45\cdot14}{45\cdot11}=\frac{630}{495}\\
\Rightarrow\;\;a\;>\;b\;pentru\;ca,\;682\,>\,630\;!!![/tex]
