Question

Can you show me how to do Thisss.

Answer 1

`x=0.\overline{3}\\ 10x=3.\overline{3}\\ 10x-x=3.\overline{3}-0.\overline{3}\\ 9x=3\\ x=(3)/(9)=(1)/(3)\\\\ x=-0.\overline{2}\\ 10x=-2.\overline{2}\\ 10x-x=-2.\overline{2}-(-0.\overline{2})\\ 9x=-2.\overline{2}+0.\overline{2}\\ 9x=-2\\ x=-(2)/(9)\\\\ x=1.\overline{7}\\ 10x=17.\overline{7}\\ 10x-x=17.\overline{7}-1.\overline{7}\\ 9x=16\\ x=(16)/(9)=1(7)/(9)`


`x=-2.\overline{6}\\ 10x=-26.\overline{6}\\ 10x-x=-26.\overline{6}-(-2.\overline{6})\\ 9x=-26.\overline{6}+2.\overline{6}\\ 9x=-24\\ x=-(24)/(9)=-2(2)/(3)\\\\ x=0.4\overline{6}\\ 10x=4.\overline{6}\\ 100x=46.\overline{6}\\ 100x-10x=46.\overline{6}-4.\overline{6}\\ 90x=42\\ x=(42)/(90)=(7)/(15)`


`x=-1.8\overline{3}\\ 10x=-18.\overline{3}\\ 100x=-183.\overline{3}\\ 100x-10x=-183.\overline{3}-(-18.\overline{3})\\ 90x=-183.\overline{3}+18.\overline{3}\\ 90x=-165\\ x=-(165)/(90)=-1(5)/(6)`