Question

Calculati : a) (1/3+1/3x0.75):(-18/30) ;b)[1/2+0,5x1,1(6)]x0,(27) ."

Answer 1

a) (1/3+1/3x0.75):(-18/30) =
=(1/3+0.25)  ×(-30/18)=
=(1/3+1/4)  ×(-5/3)=
=(4+3)/12  ×(-5/3)=
=7/12  ×(-5/3)=
=35/36


b)
1,1(6)=(116-11)/90=105/90=21/18=7/6
0,(27)=27/99=9/33=3/11
[1/2+0,5x1,1(6)]x0,(27) =
=(1/2+1/2x7/6)x3/11 =
=(1/2+7/12)x3/11 =
=(6+7)/12x3/11 =
=13/12x3/11 =
=39/132