Ca sa fie clar il rezolvam pe bucati:
0,(09)=9/99=1/11
[(1,05+0,3:(2/5)]=[105/100 +(3/10)x(5/2)]=(105/100 + 3/4)=105/100+75/100=
=180/100=9/5
66/60=11/10
0,1(63)=(163-1)/990=162/990=9/55
(0,4 +3 si 1/5)x5=(2/5 +16/5)x5=(18/5)x5=18
Expresia noastra devine:
(1/11)[(9/5):(11/10)+(9/55)]/18=
=(1/11)[(9/5)(10/11)+ 9/55]/18=
=(1/11)(18/11 +9/55)/18=
=(1/11)[(72+9)/55]/18=
=(1/11)(81/55)/18=(1/11)(9/55)/2=9/1210
