Question

Calculati:
[0,(2)+0,1(9)]+{[1,8(3)+1,5(3)]}+1,1(6)

Answer 1

0,(2)=2/9
0,1(9)=(19-1)/90=18/90 simplif.cu 2=9/45 simplif.cu 9=1/5
1,8(3)=(183-18)/90=165/90 simplif.cu5=33/18 simplif.cu 3=11/6
1,5(3)=(153-15)/90=138/90=69/45=23/15
1,1(6)=(116-11)/90=105/90=21/45=7/15
2/9+1/5+11/6+23/15+7/15=2/9+1/5+11/6+30/15=
(2x10+18+11x15+23x6+30x6)/90=
(20+18+165+138+180)/90=521/90=5,7(8)