[tex]\\ \rm\longmapsto \dfrac{9}{81}+1+10<55[/tex]
[tex]\\ \rm\longmapsto \dfrac{1}{9}+11<55[/tex]
[tex]\\ \rm\longmapsto \dfrac{99+1}{11}<55[/tex]
[tex]\\ \rm\longmapsto \dfrac{100}{11}<55[/tex]
[tex]\\ \rm\longmapsto 9.1<55[/tex]
Proved
Note that /* means 1 line added means fraction .
and ++ means +1
